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Finding the Third Proportional to 576,480 and 916,042

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Solution

The third proportional to 576,480 and 916,042 is: 1,455,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,480 : 916,042 = 916,042 : x
  2. Step 2: Convert to fraction form
    576,480/916,042 = 916,042/x
  3. Step 3: Cross multiply
    576,480x = 916,042 × 916,042
  4. Step 4: Simplify right side
    576,480x = 839,132,945,764
  5. Step 5: Solve for x
    x = 839,132,945,764/576,480
  6. Step 6: Final answer
    x = 1,455,615.02

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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.