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Finding the Third Proportional to 371,952 and 540,648

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Solution

The third proportional to 371,952 and 540,648 is: 785,854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,952 : 540,648 = 540,648 : x
  2. Step 2: Convert to fraction form
    371,952/540,648 = 540,648/x
  3. Step 3: Cross multiply
    371,952x = 540,648 × 540,648
  4. Step 4: Simplify right side
    371,952x = 292,300,259,904
  5. Step 5: Solve for x
    x = 292,300,259,904/371,952
  6. Step 6: Final answer
    x = 785,854.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.