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Finding the Third Proportional to 350,789 and 564,935

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Solution

The third proportional to 350,789 and 564,935 is: 909,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,789 : 564,935 = 564,935 : x
  2. Step 2: Convert to fraction form
    350,789/564,935 = 564,935/x
  3. Step 3: Cross multiply
    350,789x = 564,935 × 564,935
  4. Step 4: Simplify right side
    350,789x = 319,151,554,225
  5. Step 5: Solve for x
    x = 319,151,554,225/350,789
  6. Step 6: Final answer
    x = 909,810.61

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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.