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Finding the Third Proportional to 370,909.13 and 575,272.13

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Solution

The third proportional to 370,909.13 and 575,272.13 is: 892,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,909.13 : 575,272.13 = 575,272.13 : x
  2. Step 2: Convert to fraction form
    370,909.13/575,272.13 = 575,272.13/x
  3. Step 3: Cross multiply
    370,909.13x = 575,272.13 × 575,272.13
  4. Step 4: Simplify right side
    370,909.13x = 330,938,017,802.02
  5. Step 5: Solve for x
    x = 330,938,017,802.02/370,909.13
  6. Step 6: Final answer
    x = 892,234.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.