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Finding the Third Proportional to 503,905,979.63 and 782,389,507.50

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Solution

The third proportional to 503,905,979.63 and 782,389,507.50 is: 1,214,776,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,905,979.63 : 782,389,507.50 = 782,389,507.50 : x
  2. Step 2: Convert to fraction form
    503,905,979.63/782,389,507.50 = 782,389,507.50/x
  3. Step 3: Cross multiply
    503,905,979.63x = 782,389,507.50 × 782,389,507.50
  4. Step 4: Simplify right side
    503,905,979.63x = 612,133,341,446,092,544
  5. Step 5: Solve for x
    x = 612,133,341,446,092,544/503,905,979.63
  6. Step 6: Final answer
    x = 1,214,776,895.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.