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Finding the Third Proportional to 254,565 and 502,705.50

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Solution

The third proportional to 254,565 and 502,705.50 is: 992,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,565 : 502,705.50 = 502,705.50 : x
  2. Step 2: Convert to fraction form
    254,565/502,705.50 = 502,705.50/x
  3. Step 3: Cross multiply
    254,565x = 502,705.50 × 502,705.50
  4. Step 4: Simplify right side
    254,565x = 252,712,819,730.25
  5. Step 5: Solve for x
    x = 252,712,819,730.25/254,565
  6. Step 6: Final answer
    x = 992,724.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.