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Finding the Third Proportional to 359,186 and 563,457

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Solution

The third proportional to 359,186 and 563,457 is: 883,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,186 : 563,457 = 563,457 : x
  2. Step 2: Convert to fraction form
    359,186/563,457 = 563,457/x
  3. Step 3: Cross multiply
    359,186x = 563,457 × 563,457
  4. Step 4: Simplify right side
    359,186x = 317,483,790,849
  5. Step 5: Solve for x
    x = 317,483,790,849/359,186
  6. Step 6: Final answer
    x = 883,898.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.