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Finding the Third Proportional to 350,971 and 565,219.50

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Solution

The third proportional to 350,971 and 565,219.50 is: 910,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,971 : 565,219.50 = 565,219.50 : x
  2. Step 2: Convert to fraction form
    350,971/565,219.50 = 565,219.50/x
  3. Step 3: Cross multiply
    350,971x = 565,219.50 × 565,219.50
  4. Step 4: Simplify right side
    350,971x = 319,473,083,180.25
  5. Step 5: Solve for x
    x = 319,473,083,180.25/350,971
  6. Step 6: Final answer
    x = 910,254.93

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.