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Finding the Third Proportional to 353,152 and 766,506

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Solution

The third proportional to 353,152 and 766,506 is: 1,663,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,152 : 766,506 = 766,506 : x
  2. Step 2: Convert to fraction form
    353,152/766,506 = 766,506/x
  3. Step 3: Cross multiply
    353,152x = 766,506 × 766,506
  4. Step 4: Simplify right side
    353,152x = 587,531,448,036
  5. Step 5: Solve for x
    x = 587,531,448,036/353,152
  6. Step 6: Final answer
    x = 1,663,678.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.