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Finding the Third Proportional to 317,196 and 467,032.50

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Solution

The third proportional to 317,196 and 467,032.50 is: 687,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,196 : 467,032.50 = 467,032.50 : x
  2. Step 2: Convert to fraction form
    317,196/467,032.50 = 467,032.50/x
  3. Step 3: Cross multiply
    317,196x = 467,032.50 × 467,032.50
  4. Step 4: Simplify right side
    317,196x = 218,119,356,056.25
  5. Step 5: Solve for x
    x = 218,119,356,056.25/317,196
  6. Step 6: Final answer
    x = 687,648.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.