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Finding the Third Proportional to 534,360 and 715,140

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Solution

The third proportional to 534,360 and 715,140 is: 957,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,360 : 715,140 = 715,140 : x
  2. Step 2: Convert to fraction form
    534,360/715,140 = 715,140/x
  3. Step 3: Cross multiply
    534,360x = 715,140 × 715,140
  4. Step 4: Simplify right side
    534,360x = 511,425,219,600
  5. Step 5: Solve for x
    x = 511,425,219,600/534,360
  6. Step 6: Final answer
    x = 957,079.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.