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Finding the Third Proportional to 571,042 and 803,442

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Solution

The third proportional to 571,042 and 803,442 is: 1,130,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,042 : 803,442 = 803,442 : x
  2. Step 2: Convert to fraction form
    571,042/803,442 = 803,442/x
  3. Step 3: Cross multiply
    571,042x = 803,442 × 803,442
  4. Step 4: Simplify right side
    571,042x = 645,519,047,364
  5. Step 5: Solve for x
    x = 645,519,047,364/571,042
  6. Step 6: Final answer
    x = 1,130,423.06

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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.