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Finding the Third Proportional to 362,748 and 571,946

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Solution

The third proportional to 362,748 and 571,946 is: 901,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,748 : 571,946 = 571,946 : x
  2. Step 2: Convert to fraction form
    362,748/571,946 = 571,946/x
  3. Step 3: Cross multiply
    362,748x = 571,946 × 571,946
  4. Step 4: Simplify right side
    362,748x = 327,122,226,916
  5. Step 5: Solve for x
    x = 327,122,226,916/362,748
  6. Step 6: Final answer
    x = 901,789.20

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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.