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Finding the Third Proportional to 322,014 and 473,167.50

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Solution

The third proportional to 322,014 and 473,167.50 is: 695,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,014 : 473,167.50 = 473,167.50 : x
  2. Step 2: Convert to fraction form
    322,014/473,167.50 = 473,167.50/x
  3. Step 3: Cross multiply
    322,014x = 473,167.50 × 473,167.50
  4. Step 4: Simplify right side
    322,014x = 223,887,483,056.25
  5. Step 5: Solve for x
    x = 223,887,483,056.25/322,014
  6. Step 6: Final answer
    x = 695,272.51

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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.