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Finding the Third Proportional to 535,470 and 785,317

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Solution

The third proportional to 535,470 and 785,317 is: 1,151,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,470 : 785,317 = 785,317 : x
  2. Step 2: Convert to fraction form
    535,470/785,317 = 785,317/x
  3. Step 3: Cross multiply
    535,470x = 785,317 × 785,317
  4. Step 4: Simplify right side
    535,470x = 616,722,790,489
  5. Step 5: Solve for x
    x = 616,722,790,489/535,470
  6. Step 6: Final answer
    x = 1,151,741.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.