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Finding the Third Proportional to 359,548 and 780,212

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Solution

The third proportional to 359,548 and 780,212 is: 1,693,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,548 : 780,212 = 780,212 : x
  2. Step 2: Convert to fraction form
    359,548/780,212 = 780,212/x
  3. Step 3: Cross multiply
    359,548x = 780,212 × 780,212
  4. Step 4: Simplify right side
    359,548x = 608,730,764,944
  5. Step 5: Solve for x
    x = 608,730,764,944/359,548
  6. Step 6: Final answer
    x = 1,693,044.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.