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Finding the Third Proportional to 352,088 and 760,292

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Solution

The third proportional to 352,088 and 760,292 is: 1,641,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,088 : 760,292 = 760,292 : x
  2. Step 2: Convert to fraction form
    352,088/760,292 = 760,292/x
  3. Step 3: Cross multiply
    352,088x = 760,292 × 760,292
  4. Step 4: Simplify right side
    352,088x = 578,043,925,264
  5. Step 5: Solve for x
    x = 578,043,925,264/352,088
  6. Step 6: Final answer
    x = 1,641,759.80

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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.