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Finding the Third Proportional to 434,119.50 and 670,862.25

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Solution

The third proportional to 434,119.50 and 670,862.25 is: 1,036,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,119.50 : 670,862.25 = 670,862.25 : x
  2. Step 2: Convert to fraction form
    434,119.50/670,862.25 = 670,862.25/x
  3. Step 3: Cross multiply
    434,119.50x = 670,862.25 × 670,862.25
  4. Step 4: Simplify right side
    434,119.50x = 450,056,158,475.06
  5. Step 5: Solve for x
    x = 450,056,158,475.06/434,119.50
  6. Step 6: Final answer
    x = 1,036,710.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.