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Finding the Third Proportional to 340,264.13 and 502,637.06

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Solution

The third proportional to 340,264.13 and 502,637.06 is: 742,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,264.13 : 502,637.06 = 502,637.06 : x
  2. Step 2: Convert to fraction form
    340,264.13/502,637.06 = 502,637.06/x
  3. Step 3: Cross multiply
    340,264.13x = 502,637.06 × 502,637.06
  4. Step 4: Simplify right side
    340,264.13x = 252,644,016,598.63
  5. Step 5: Solve for x
    x = 252,644,016,598.63/340,264.13
  6. Step 6: Final answer
    x = 742,493.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.