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Finding the Third Proportional to 350,948.75 and 718,497.50

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Solution

The third proportional to 350,948.75 and 718,497.50 is: 1,470,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,948.75 : 718,497.50 = 718,497.50 : x
  2. Step 2: Convert to fraction form
    350,948.75/718,497.50 = 718,497.50/x
  3. Step 3: Cross multiply
    350,948.75x = 718,497.50 × 718,497.50
  4. Step 4: Simplify right side
    350,948.75x = 516,238,657,506.25
  5. Step 5: Solve for x
    x = 516,238,657,506.25/350,948.75
  6. Step 6: Final answer
    x = 1,470,980.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.