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Finding the Third Proportional to 375,624 and 563,598

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Solution

The third proportional to 375,624 and 563,598 is: 845,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,624 : 563,598 = 563,598 : x
  2. Step 2: Convert to fraction form
    375,624/563,598 = 563,598/x
  3. Step 3: Cross multiply
    375,624x = 563,598 × 563,598
  4. Step 4: Simplify right side
    375,624x = 317,642,705,604
  5. Step 5: Solve for x
    x = 317,642,705,604/375,624
  6. Step 6: Final answer
    x = 845,640.07

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