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Finding the Third Proportional to 576,484 and 916,048

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Solution

The third proportional to 576,484 and 916,048 is: 1,455,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,484 : 916,048 = 916,048 : x
  2. Step 2: Convert to fraction form
    576,484/916,048 = 916,048/x
  3. Step 3: Cross multiply
    576,484x = 916,048 × 916,048
  4. Step 4: Simplify right side
    576,484x = 839,143,938,304
  5. Step 5: Solve for x
    x = 839,143,938,304/576,484
  6. Step 6: Final answer
    x = 1,455,623.99

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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.