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Finding the Third Proportional to 359,359.50 and 563,724

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Solution

The third proportional to 359,359.50 and 563,724 is: 884,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,359.50 : 563,724 = 563,724 : x
  2. Step 2: Convert to fraction form
    359,359.50/563,724 = 563,724/x
  3. Step 3: Cross multiply
    359,359.50x = 563,724 × 563,724
  4. Step 4: Simplify right side
    359,359.50x = 317,784,748,176
  5. Step 5: Solve for x
    x = 317,784,748,176/359,359.50
  6. Step 6: Final answer
    x = 884,308.74

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.