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Finding the Third Proportional to 576,376 and 926,070

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Solution

The third proportional to 576,376 and 926,070 is: 1,487,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,376 : 926,070 = 926,070 : x
  2. Step 2: Convert to fraction form
    576,376/926,070 = 926,070/x
  3. Step 3: Cross multiply
    576,376x = 926,070 × 926,070
  4. Step 4: Simplify right side
    576,376x = 857,605,644,900
  5. Step 5: Solve for x
    x = 857,605,644,900/576,376
  6. Step 6: Final answer
    x = 1,487,927.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.