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Finding the Third Proportional to 359,355 and 538,987.50

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Solution

The third proportional to 359,355 and 538,987.50 is: 808,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,355 : 538,987.50 = 538,987.50 : x
  2. Step 2: Convert to fraction form
    359,355/538,987.50 = 538,987.50/x
  3. Step 3: Cross multiply
    359,355x = 538,987.50 × 538,987.50
  4. Step 4: Simplify right side
    359,355x = 290,507,525,156.25
  5. Step 5: Solve for x
    x = 290,507,525,156.25/359,355
  6. Step 6: Final answer
    x = 808,413.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.