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Finding the Third Proportional to 503,010 and 785,133

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Solution

The third proportional to 503,010 and 785,133 is: 1,225,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,010 : 785,133 = 785,133 : x
  2. Step 2: Convert to fraction form
    503,010/785,133 = 785,133/x
  3. Step 3: Cross multiply
    503,010x = 785,133 × 785,133
  4. Step 4: Simplify right side
    503,010x = 616,433,827,689
  5. Step 5: Solve for x
    x = 616,433,827,689/503,010
  6. Step 6: Final answer
    x = 1,225,490.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.