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Finding the Third Proportional to 299,710.13 and 452,071.13

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Solution

The third proportional to 299,710.13 and 452,071.13 is: 681,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,710.13 : 452,071.13 = 452,071.13 : x
  2. Step 2: Convert to fraction form
    299,710.13/452,071.13 = 452,071.13/x
  3. Step 3: Cross multiply
    299,710.13x = 452,071.13 × 452,071.13
  4. Step 4: Simplify right side
    299,710.13x = 204,368,302,058.77
  5. Step 5: Solve for x
    x = 204,368,302,058.77/299,710.13
  6. Step 6: Final answer
    x = 681,886.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.