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Finding the Third Proportional to 372,643 and 804,294

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Solution

The third proportional to 372,643 and 804,294 is: 1,735,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,643 : 804,294 = 804,294 : x
  2. Step 2: Convert to fraction form
    372,643/804,294 = 804,294/x
  3. Step 3: Cross multiply
    372,643x = 804,294 × 804,294
  4. Step 4: Simplify right side
    372,643x = 646,888,838,436
  5. Step 5: Solve for x
    x = 646,888,838,436/372,643
  6. Step 6: Final answer
    x = 1,735,947.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.