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Finding the Third Proportional to 506,574 and 712,472.63

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Solution

The third proportional to 506,574 and 712,472.63 is: 1,002,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,574 : 712,472.63 = 712,472.63 : x
  2. Step 2: Convert to fraction form
    506,574/712,472.63 = 712,472.63/x
  3. Step 3: Cross multiply
    506,574x = 712,472.63 × 712,472.63
  4. Step 4: Simplify right side
    506,574x = 507,617,241,374.39
  5. Step 5: Solve for x
    x = 507,617,241,374.39/506,574
  6. Step 6: Final answer
    x = 1,002,059.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.