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Finding the Third Proportional to 240,532 and 522,053

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Solution

The third proportional to 240,532 and 522,053 is: 1,133,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,532 : 522,053 = 522,053 : x
  2. Step 2: Convert to fraction form
    240,532/522,053 = 522,053/x
  3. Step 3: Cross multiply
    240,532x = 522,053 × 522,053
  4. Step 4: Simplify right side
    240,532x = 272,539,334,809
  5. Step 5: Solve for x
    x = 272,539,334,809/240,532
  6. Step 6: Final answer
    x = 1,133,068.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.