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Finding the Third Proportional to 564,402 and 752,426

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Solution

The third proportional to 564,402 and 752,426 is: 1,003,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,402 : 752,426 = 752,426 : x
  2. Step 2: Convert to fraction form
    564,402/752,426 = 752,426/x
  3. Step 3: Cross multiply
    564,402x = 752,426 × 752,426
  4. Step 4: Simplify right side
    564,402x = 566,144,885,476
  5. Step 5: Solve for x
    x = 566,144,885,476/564,402
  6. Step 6: Final answer
    x = 1,003,088.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.