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Finding the Third Proportional to 265,700 and 574,814

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Solution

The third proportional to 265,700 and 574,814 is: 1,243,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,700 : 574,814 = 574,814 : x
  2. Step 2: Convert to fraction form
    265,700/574,814 = 574,814/x
  3. Step 3: Cross multiply
    265,700x = 574,814 × 574,814
  4. Step 4: Simplify right side
    265,700x = 330,411,134,596
  5. Step 5: Solve for x
    x = 330,411,134,596/265,700
  6. Step 6: Final answer
    x = 1,243,549.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.