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Finding the Third Proportional to 341,232 and 797,160

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Solution

The third proportional to 341,232 and 797,160 is: 1,862,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,232 : 797,160 = 797,160 : x
  2. Step 2: Convert to fraction form
    341,232/797,160 = 797,160/x
  3. Step 3: Cross multiply
    341,232x = 797,160 × 797,160
  4. Step 4: Simplify right side
    341,232x = 635,464,065,600
  5. Step 5: Solve for x
    x = 635,464,065,600/341,232
  6. Step 6: Final answer
    x = 1,862,263.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.