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Finding the Third Proportional to 348,922.13 and 755,810.25

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Solution

The third proportional to 348,922.13 and 755,810.25 is: 1,637,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,922.13 : 755,810.25 = 755,810.25 : x
  2. Step 2: Convert to fraction form
    348,922.13/755,810.25 = 755,810.25/x
  3. Step 3: Cross multiply
    348,922.13x = 755,810.25 × 755,810.25
  4. Step 4: Simplify right side
    348,922.13x = 571,249,134,005.06
  5. Step 5: Solve for x
    x = 571,249,134,005.06/348,922.13
  6. Step 6: Final answer
    x = 1,637,182.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.