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Finding the Third Proportional to 375,352 and 563,522

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Solution

The third proportional to 375,352 and 563,522 is: 846,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,352 : 563,522 = 563,522 : x
  2. Step 2: Convert to fraction form
    375,352/563,522 = 563,522/x
  3. Step 3: Cross multiply
    375,352x = 563,522 × 563,522
  4. Step 4: Simplify right side
    375,352x = 317,557,044,484
  5. Step 5: Solve for x
    x = 317,557,044,484/375,352
  6. Step 6: Final answer
    x = 846,024.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.