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Finding the Third Proportional to 359,634 and 540,373.50

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Solution

The third proportional to 359,634 and 540,373.50 is: 811,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,634 : 540,373.50 = 540,373.50 : x
  2. Step 2: Convert to fraction form
    359,634/540,373.50 = 540,373.50/x
  3. Step 3: Cross multiply
    359,634x = 540,373.50 × 540,373.50
  4. Step 4: Simplify right side
    359,634x = 292,003,519,502.25
  5. Step 5: Solve for x
    x = 292,003,519,502.25/359,634
  6. Step 6: Final answer
    x = 811,946.37

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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.