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Finding the Third Proportional to 314,572.50 and 439,843.50

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Solution

The third proportional to 314,572.50 and 439,843.50 is: 615,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,572.50 : 439,843.50 = 439,843.50 : x
  2. Step 2: Convert to fraction form
    314,572.50/439,843.50 = 439,843.50/x
  3. Step 3: Cross multiply
    314,572.50x = 439,843.50 × 439,843.50
  4. Step 4: Simplify right side
    314,572.50x = 193,462,304,492.25
  5. Step 5: Solve for x
    x = 193,462,304,492.25/314,572.50
  6. Step 6: Final answer
    x = 615,000.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.