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Finding the Third Proportional to 576,680 and 918,316

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Solution

The third proportional to 576,680 and 918,316 is: 1,462,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,680 : 918,316 = 918,316 : x
  2. Step 2: Convert to fraction form
    576,680/918,316 = 918,316/x
  3. Step 3: Cross multiply
    576,680x = 918,316 × 918,316
  4. Step 4: Simplify right side
    576,680x = 843,304,275,856
  5. Step 5: Solve for x
    x = 843,304,275,856/576,680
  6. Step 6: Final answer
    x = 1,462,343.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.