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Finding the Third Proportional to 576,280 and 845,737

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Solution

The third proportional to 576,280 and 845,737 is: 1,241,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,280 : 845,737 = 845,737 : x
  2. Step 2: Convert to fraction form
    576,280/845,737 = 845,737/x
  3. Step 3: Cross multiply
    576,280x = 845,737 × 845,737
  4. Step 4: Simplify right side
    576,280x = 715,271,073,169
  5. Step 5: Solve for x
    x = 715,271,073,169/576,280
  6. Step 6: Final answer
    x = 1,241,186.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.