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Finding the Third Proportional to 304,646.06 and 660,139.88

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Solution

The third proportional to 304,646.06 and 660,139.88 is: 1,430,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,646.06 : 660,139.88 = 660,139.88 : x
  2. Step 2: Convert to fraction form
    304,646.06/660,139.88 = 660,139.88/x
  3. Step 3: Cross multiply
    304,646.06x = 660,139.88 × 660,139.88
  4. Step 4: Simplify right side
    304,646.06x = 435,784,654,565.02
  5. Step 5: Solve for x
    x = 435,784,654,565.02/304,646.06
  6. Step 6: Final answer
    x = 1,430,462.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.