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Finding the Third Proportional to 561,476 and 732,316

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Solution

The third proportional to 561,476 and 732,316 is: 955,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,476 : 732,316 = 732,316 : x
  2. Step 2: Convert to fraction form
    561,476/732,316 = 732,316/x
  3. Step 3: Cross multiply
    561,476x = 732,316 × 732,316
  4. Step 4: Simplify right side
    561,476x = 536,286,723,856
  5. Step 5: Solve for x
    x = 536,286,723,856/561,476
  6. Step 6: Final answer
    x = 955,137.39

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.