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Finding the Third Proportional to 506,924 and 784,651

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Solution

The third proportional to 506,924 and 784,651 is: 1,214,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,924 : 784,651 = 784,651 : x
  2. Step 2: Convert to fraction form
    506,924/784,651 = 784,651/x
  3. Step 3: Cross multiply
    506,924x = 784,651 × 784,651
  4. Step 4: Simplify right side
    506,924x = 615,677,191,801
  5. Step 5: Solve for x
    x = 615,677,191,801/506,924
  6. Step 6: Final answer
    x = 1,214,535.50

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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.