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Finding the Third Proportional to 359,630 and 540,368

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Solution

The third proportional to 359,630 and 540,368 is: 811,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,630 : 540,368 = 540,368 : x
  2. Step 2: Convert to fraction form
    359,630/540,368 = 540,368/x
  3. Step 3: Cross multiply
    359,630x = 540,368 × 540,368
  4. Step 4: Simplify right side
    359,630x = 291,997,575,424
  5. Step 5: Solve for x
    x = 291,997,575,424/359,630
  6. Step 6: Final answer
    x = 811,938.87

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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.