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Finding the Third Proportional to 359,159.49 and 537,749.92

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Solution

The third proportional to 359,159.49 and 537,749.92 is: 805,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,159.49 : 537,749.92 = 537,749.92 : x
  2. Step 2: Convert to fraction form
    359,159.49/537,749.92 = 537,749.92/x
  3. Step 3: Cross multiply
    359,159.49x = 537,749.92 × 537,749.92
  4. Step 4: Simplify right side
    359,159.49x = 289,174,971,813.83
  5. Step 5: Solve for x
    x = 289,174,971,813.83/359,159.49
  6. Step 6: Final answer
    x = 805,143.62

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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.