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Finding the Third Proportional to 359,151 and 535,612

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Solution

The third proportional to 359,151 and 535,612 is: 798,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,151 : 535,612 = 535,612 : x
  2. Step 2: Convert to fraction form
    359,151/535,612 = 535,612/x
  3. Step 3: Cross multiply
    359,151x = 535,612 × 535,612
  4. Step 4: Simplify right side
    359,151x = 286,880,214,544
  5. Step 5: Solve for x
    x = 286,880,214,544/359,151
  6. Step 6: Final answer
    x = 798,773.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.