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Finding the Third Proportional to 456,548.63 and 709,691.06

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Solution

The third proportional to 456,548.63 and 709,691.06 is: 1,103,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,548.63 : 709,691.06 = 709,691.06 : x
  2. Step 2: Convert to fraction form
    456,548.63/709,691.06 = 709,691.06/x
  3. Step 3: Cross multiply
    456,548.63x = 709,691.06 × 709,691.06
  4. Step 4: Simplify right side
    456,548.63x = 503,661,404,192.38
  5. Step 5: Solve for x
    x = 503,661,404,192.38/456,548.63
  6. Step 6: Final answer
    x = 1,103,193.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.