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Finding the Third Proportional to 334,282 and 715,220

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Solution

The third proportional to 334,282 and 715,220 is: 1,530,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,282 : 715,220 = 715,220 : x
  2. Step 2: Convert to fraction form
    334,282/715,220 = 715,220/x
  3. Step 3: Cross multiply
    334,282x = 715,220 × 715,220
  4. Step 4: Simplify right side
    334,282x = 511,539,648,400
  5. Step 5: Solve for x
    x = 511,539,648,400/334,282
  6. Step 6: Final answer
    x = 1,530,263.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.