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Finding the Third Proportional to 506,204 and 712,040

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Solution

The third proportional to 506,204 and 712,040 is: 1,001,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,204 : 712,040 = 712,040 : x
  2. Step 2: Convert to fraction form
    506,204/712,040 = 712,040/x
  3. Step 3: Cross multiply
    506,204x = 712,040 × 712,040
  4. Step 4: Simplify right side
    506,204x = 507,000,961,600
  5. Step 5: Solve for x
    x = 507,000,961,600/506,204
  6. Step 6: Final answer
    x = 1,001,574.39

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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.