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Finding the Third Proportional to 462,987.75 and 660,801.75

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Solution

The third proportional to 462,987.75 and 660,801.75 is: 943,132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,987.75 : 660,801.75 = 660,801.75 : x
  2. Step 2: Convert to fraction form
    462,987.75/660,801.75 = 660,801.75/x
  3. Step 3: Cross multiply
    462,987.75x = 660,801.75 × 660,801.75
  4. Step 4: Simplify right side
    462,987.75x = 436,658,952,803.06
  5. Step 5: Solve for x
    x = 436,658,952,803.06/462,987.75
  6. Step 6: Final answer
    x = 943,132.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.