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Finding the Third Proportional to 576,476 and 916,037

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Solution

The third proportional to 576,476 and 916,037 is: 1,455,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,476 : 916,037 = 916,037 : x
  2. Step 2: Convert to fraction form
    576,476/916,037 = 916,037/x
  3. Step 3: Cross multiply
    576,476x = 916,037 × 916,037
  4. Step 4: Simplify right side
    576,476x = 839,123,785,369
  5. Step 5: Solve for x
    x = 839,123,785,369/576,476
  6. Step 6: Final answer
    x = 1,455,609.23

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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.