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Finding the Third Proportional to 359,290.69 and 788,565.38

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Solution

The third proportional to 359,290.69 and 788,565.38 is: 1,730,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,290.69 : 788,565.38 = 788,565.38 : x
  2. Step 2: Convert to fraction form
    359,290.69/788,565.38 = 788,565.38/x
  3. Step 3: Cross multiply
    359,290.69x = 788,565.38 × 788,565.38
  4. Step 4: Simplify right side
    359,290.69x = 621,835,350,648.89
  5. Step 5: Solve for x
    x = 621,835,350,648.89/359,290.69
  6. Step 6: Final answer
    x = 1,730,730.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.