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Finding the Third Proportional to 571,490 and 783,670

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Solution

The third proportional to 571,490 and 783,670 is: 1,074,627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,490 : 783,670 = 783,670 : x
  2. Step 2: Convert to fraction form
    571,490/783,670 = 783,670/x
  3. Step 3: Cross multiply
    571,490x = 783,670 × 783,670
  4. Step 4: Simplify right side
    571,490x = 614,138,668,900
  5. Step 5: Solve for x
    x = 614,138,668,900/571,490
  6. Step 6: Final answer
    x = 1,074,627.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.