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Finding the Third Proportional to 359,275.50 and 784,672.31

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Solution

The third proportional to 359,275.50 and 784,672.31 is: 1,713,756.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,275.50 : 784,672.31 = 784,672.31 : x
  2. Step 2: Convert to fraction form
    359,275.50/784,672.31 = 784,672.31/x
  3. Step 3: Cross multiply
    359,275.50x = 784,672.31 × 784,672.31
  4. Step 4: Simplify right side
    359,275.50x = 615,710,638,004.10
  5. Step 5: Solve for x
    x = 615,710,638,004.10/359,275.50
  6. Step 6: Final answer
    x = 1,713,756.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.