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Finding the Third Proportional to 350,808.50 and 564,971.50

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Solution

The third proportional to 350,808.50 and 564,971.50 is: 909,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,808.50 : 564,971.50 = 564,971.50 : x
  2. Step 2: Convert to fraction form
    350,808.50/564,971.50 = 564,971.50/x
  3. Step 3: Cross multiply
    350,808.50x = 564,971.50 × 564,971.50
  4. Step 4: Simplify right side
    350,808.50x = 319,192,795,812.25
  5. Step 5: Solve for x
    x = 319,192,795,812.25/350,808.50
  6. Step 6: Final answer
    x = 909,877.60

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Why These Related Problems?

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