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Finding the Third Proportional to 359,559 and 782,541

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Solution

The third proportional to 359,559 and 782,541 is: 1,703,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,559 : 782,541 = 782,541 : x
  2. Step 2: Convert to fraction form
    359,559/782,541 = 782,541/x
  3. Step 3: Cross multiply
    359,559x = 782,541 × 782,541
  4. Step 4: Simplify right side
    359,559x = 612,370,416,681
  5. Step 5: Solve for x
    x = 612,370,416,681/359,559
  6. Step 6: Final answer
    x = 1,703,115.25

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Why These Related Problems?

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