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Finding the Third Proportional to 304,432.50 and 657,646.50

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Solution

The third proportional to 304,432.50 and 657,646.50 is: 1,420,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,432.50 : 657,646.50 = 657,646.50 : x
  2. Step 2: Convert to fraction form
    304,432.50/657,646.50 = 657,646.50/x
  3. Step 3: Cross multiply
    304,432.50x = 657,646.50 × 657,646.50
  4. Step 4: Simplify right side
    304,432.50x = 432,498,918,962.25
  5. Step 5: Solve for x
    x = 432,498,918,962.25/304,432.50
  6. Step 6: Final answer
    x = 1,420,672.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.