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Finding the Third Proportional to 245,397 and 359,985

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Solution

The third proportional to 245,397 and 359,985 is: 528,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,397 : 359,985 = 359,985 : x
  2. Step 2: Convert to fraction form
    245,397/359,985 = 359,985/x
  3. Step 3: Cross multiply
    245,397x = 359,985 × 359,985
  4. Step 4: Simplify right side
    245,397x = 129,589,200,225
  5. Step 5: Solve for x
    x = 129,589,200,225/245,397
  6. Step 6: Final answer
    x = 528,079.81

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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.