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Finding the Third Proportional to 352,292 and 785,264

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Solution

The third proportional to 352,292 and 785,264 is: 1,750,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,292 : 785,264 = 785,264 : x
  2. Step 2: Convert to fraction form
    352,292/785,264 = 785,264/x
  3. Step 3: Cross multiply
    352,292x = 785,264 × 785,264
  4. Step 4: Simplify right side
    352,292x = 616,639,549,696
  5. Step 5: Solve for x
    x = 616,639,549,696/352,292
  6. Step 6: Final answer
    x = 1,750,364.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.