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Finding the Third Proportional to 240,768 and 525,952

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Solution

The third proportional to 240,768 and 525,952 is: 1,148,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,768 : 525,952 = 525,952 : x
  2. Step 2: Convert to fraction form
    240,768/525,952 = 525,952/x
  3. Step 3: Cross multiply
    240,768x = 525,952 × 525,952
  4. Step 4: Simplify right side
    240,768x = 276,625,506,304
  5. Step 5: Solve for x
    x = 276,625,506,304/240,768
  6. Step 6: Final answer
    x = 1,148,929.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.