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Finding the Third Proportional to 576,480 and 916,043

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Solution

The third proportional to 576,480 and 916,043 is: 1,455,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,480 : 916,043 = 916,043 : x
  2. Step 2: Convert to fraction form
    576,480/916,043 = 916,043/x
  3. Step 3: Cross multiply
    576,480x = 916,043 × 916,043
  4. Step 4: Simplify right side
    576,480x = 839,134,777,849
  5. Step 5: Solve for x
    x = 839,134,777,849/576,480
  6. Step 6: Final answer
    x = 1,455,618.20

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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.