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Finding the Third Proportional to 563,230 and 895,489

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Solution

The third proportional to 563,230 and 895,489 is: 1,423,753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,230 : 895,489 = 895,489 : x
  2. Step 2: Convert to fraction form
    563,230/895,489 = 895,489/x
  3. Step 3: Cross multiply
    563,230x = 895,489 × 895,489
  4. Step 4: Simplify right side
    563,230x = 801,900,549,121
  5. Step 5: Solve for x
    x = 801,900,549,121/563,230
  6. Step 6: Final answer
    x = 1,423,753.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.