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Finding the Third Proportional to 241,585 and 530,959

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Solution

The third proportional to 241,585 and 530,959 is: 1,166,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,585 : 530,959 = 530,959 : x
  2. Step 2: Convert to fraction form
    241,585/530,959 = 530,959/x
  3. Step 3: Cross multiply
    241,585x = 530,959 × 530,959
  4. Step 4: Simplify right side
    241,585x = 281,917,459,681
  5. Step 5: Solve for x
    x = 281,917,459,681/241,585
  6. Step 6: Final answer
    x = 1,166,949.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.