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Finding the Third Proportional to 359,055.28 and 546,043.78

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Solution

The third proportional to 359,055.28 and 546,043.78 is: 830,411.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,055.28 : 546,043.78 = 546,043.78 : x
  2. Step 2: Convert to fraction form
    359,055.28/546,043.78 = 546,043.78/x
  3. Step 3: Cross multiply
    359,055.28x = 546,043.78 × 546,043.78
  4. Step 4: Simplify right side
    359,055.28x = 298,163,811,041.80
  5. Step 5: Solve for x
    x = 298,163,811,041.80/359,055.28
  6. Step 6: Final answer
    x = 830,411.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.