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Finding the Third Proportional to 564,390 and 752,409

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Solution

The third proportional to 564,390 and 752,409 is: 1,003,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,390 : 752,409 = 752,409 : x
  2. Step 2: Convert to fraction form
    564,390/752,409 = 752,409/x
  3. Step 3: Cross multiply
    564,390x = 752,409 × 752,409
  4. Step 4: Simplify right side
    564,390x = 566,119,303,281
  5. Step 5: Solve for x
    x = 566,119,303,281/564,390
  6. Step 6: Final answer
    x = 1,003,064.02

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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.