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Finding the Third Proportional to 265,707 and 578,070

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Solution

The third proportional to 265,707 and 578,070 is: 1,257,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,707 : 578,070 = 578,070 : x
  2. Step 2: Convert to fraction form
    265,707/578,070 = 578,070/x
  3. Step 3: Cross multiply
    265,707x = 578,070 × 578,070
  4. Step 4: Simplify right side
    265,707x = 334,164,924,900
  5. Step 5: Solve for x
    x = 334,164,924,900/265,707
  6. Step 6: Final answer
    x = 1,257,644.42

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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.