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Finding the Third Proportional to 359,200 and 557,712

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Solution

The third proportional to 359,200 and 557,712 is: 865,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,200 : 557,712 = 557,712 : x
  2. Step 2: Convert to fraction form
    359,200/557,712 = 557,712/x
  3. Step 3: Cross multiply
    359,200x = 557,712 × 557,712
  4. Step 4: Simplify right side
    359,200x = 311,042,674,944
  5. Step 5: Solve for x
    x = 311,042,674,944/359,200
  6. Step 6: Final answer
    x = 865,931.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.