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Finding the Third Proportional to 576,490 and 916,058

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Solution

The third proportional to 576,490 and 916,058 is: 1,455,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,490 : 916,058 = 916,058 : x
  2. Step 2: Convert to fraction form
    576,490/916,058 = 916,058/x
  3. Step 3: Cross multiply
    576,490x = 916,058 × 916,058
  4. Step 4: Simplify right side
    576,490x = 839,162,259,364
  5. Step 5: Solve for x
    x = 839,162,259,364/576,490
  6. Step 6: Final answer
    x = 1,455,640.62

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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.