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Finding the Third Proportional to 360,821 and 571,310

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Solution

The third proportional to 360,821 and 571,310 is: 904,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,821 : 571,310 = 571,310 : x
  2. Step 2: Convert to fraction form
    360,821/571,310 = 571,310/x
  3. Step 3: Cross multiply
    360,821x = 571,310 × 571,310
  4. Step 4: Simplify right side
    360,821x = 326,395,116,100
  5. Step 5: Solve for x
    x = 326,395,116,100/360,821
  6. Step 6: Final answer
    x = 904,590.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.