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Finding the Third Proportional to 571,045 and 803,446

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Solution

The third proportional to 571,045 and 803,446 is: 1,130,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,045 : 803,446 = 803,446 : x
  2. Step 2: Convert to fraction form
    571,045/803,446 = 803,446/x
  3. Step 3: Cross multiply
    571,045x = 803,446 × 803,446
  4. Step 4: Simplify right side
    571,045x = 645,525,474,916
  5. Step 5: Solve for x
    x = 645,525,474,916/571,045
  6. Step 6: Final answer
    x = 1,130,428.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.