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Finding the Third Proportional to 343,973.25 and 750,417.75

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Solution

The third proportional to 343,973.25 and 750,417.75 is: 1,637,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,973.25 : 750,417.75 = 750,417.75 : x
  2. Step 2: Convert to fraction form
    343,973.25/750,417.75 = 750,417.75/x
  3. Step 3: Cross multiply
    343,973.25x = 750,417.75 × 750,417.75
  4. Step 4: Simplify right side
    343,973.25x = 563,126,799,515.06
  5. Step 5: Solve for x
    x = 563,126,799,515.06/343,973.25
  6. Step 6: Final answer
    x = 1,637,123.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.