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Finding the Third Proportional to 576,368 and 926,058

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Solution

The third proportional to 576,368 and 926,058 is: 1,487,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,368 : 926,058 = 926,058 : x
  2. Step 2: Convert to fraction form
    576,368/926,058 = 926,058/x
  3. Step 3: Cross multiply
    576,368x = 926,058 × 926,058
  4. Step 4: Simplify right side
    576,368x = 857,583,419,364
  5. Step 5: Solve for x
    x = 857,583,419,364/576,368
  6. Step 6: Final answer
    x = 1,487,909.49

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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.