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Finding the Third Proportional to 350,594 and 767,526

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Solution

The third proportional to 350,594 and 767,526 is: 1,680,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,594 : 767,526 = 767,526 : x
  2. Step 2: Convert to fraction form
    350,594/767,526 = 767,526/x
  3. Step 3: Cross multiply
    350,594x = 767,526 × 767,526
  4. Step 4: Simplify right side
    350,594x = 589,096,160,676
  5. Step 5: Solve for x
    x = 589,096,160,676/350,594
  6. Step 6: Final answer
    x = 1,680,280.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.