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Finding the Third Proportional to 359,496 and 560,868

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Solution

The third proportional to 359,496 and 560,868 is: 875,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,496 : 560,868 = 560,868 : x
  2. Step 2: Convert to fraction form
    359,496/560,868 = 560,868/x
  3. Step 3: Cross multiply
    359,496x = 560,868 × 560,868
  4. Step 4: Simplify right side
    359,496x = 314,572,913,424
  5. Step 5: Solve for x
    x = 314,572,913,424/359,496
  6. Step 6: Final answer
    x = 875,038.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.