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Finding the Third Proportional to 320,152.50 and 463,695.75

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Solution

The third proportional to 320,152.50 and 463,695.75 is: 671,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,152.50 : 463,695.75 = 463,695.75 : x
  2. Step 2: Convert to fraction form
    320,152.50/463,695.75 = 463,695.75/x
  3. Step 3: Cross multiply
    320,152.50x = 463,695.75 × 463,695.75
  4. Step 4: Simplify right side
    320,152.50x = 215,013,748,568.06
  5. Step 5: Solve for x
    x = 215,013,748,568.06/320,152.50
  6. Step 6: Final answer
    x = 671,597.91

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.