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Finding the Third Proportional to 272,602.13 and 558,802.13

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Solution

The third proportional to 272,602.13 and 558,802.13 is: 1,145,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,602.13 : 558,802.13 = 558,802.13 : x
  2. Step 2: Convert to fraction form
    272,602.13/558,802.13 = 558,802.13/x
  3. Step 3: Cross multiply
    272,602.13x = 558,802.13 × 558,802.13
  4. Step 4: Simplify right side
    272,602.13x = 312,259,814,904.52
  5. Step 5: Solve for x
    x = 312,259,814,904.52/272,602.13
  6. Step 6: Final answer
    x = 1,145,478.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.