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Finding the Third Proportional to 487,729.50 and 750,252

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Solution

The third proportional to 487,729.50 and 750,252 is: 1,154,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,729.50 : 750,252 = 750,252 : x
  2. Step 2: Convert to fraction form
    487,729.50/750,252 = 750,252/x
  3. Step 3: Cross multiply
    487,729.50x = 750,252 × 750,252
  4. Step 4: Simplify right side
    487,729.50x = 562,878,063,504
  5. Step 5: Solve for x
    x = 562,878,063,504/487,729.50
  6. Step 6: Final answer
    x = 1,154,078.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.