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Finding the Third Proportional to 197,547.75 and 439,438.50

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Solution

The third proportional to 197,547.75 and 439,438.50 is: 977,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,547.75 : 439,438.50 = 439,438.50 : x
  2. Step 2: Convert to fraction form
    197,547.75/439,438.50 = 439,438.50/x
  3. Step 3: Cross multiply
    197,547.75x = 439,438.50 × 439,438.50
  4. Step 4: Simplify right side
    197,547.75x = 193,106,195,282.25
  5. Step 5: Solve for x
    x = 193,106,195,282.25/197,547.75
  6. Step 6: Final answer
    x = 977,516.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.