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Finding the Third Proportional to 241,528 and 529,712

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Solution

The third proportional to 241,528 and 529,712 is: 1,161,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,528 : 529,712 = 529,712 : x
  2. Step 2: Convert to fraction form
    241,528/529,712 = 529,712/x
  3. Step 3: Cross multiply
    241,528x = 529,712 × 529,712
  4. Step 4: Simplify right side
    241,528x = 280,594,802,944
  5. Step 5: Solve for x
    x = 280,594,802,944/241,528
  6. Step 6: Final answer
    x = 1,161,748.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.