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Finding the Third Proportional to 437,004 and 975,703.50

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Solution

The third proportional to 437,004 and 975,703.50 is: 2,178,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,004 : 975,703.50 = 975,703.50 : x
  2. Step 2: Convert to fraction form
    437,004/975,703.50 = 975,703.50/x
  3. Step 3: Cross multiply
    437,004x = 975,703.50 × 975,703.50
  4. Step 4: Simplify right side
    437,004x = 951,997,319,912.25
  5. Step 5: Solve for x
    x = 951,997,319,912.25/437,004
  6. Step 6: Final answer
    x = 2,178,463.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.