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Finding the Third Proportional to 370,506 and 798,612

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Solution

The third proportional to 370,506 and 798,612 is: 1,721,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,506 : 798,612 = 798,612 : x
  2. Step 2: Convert to fraction form
    370,506/798,612 = 798,612/x
  3. Step 3: Cross multiply
    370,506x = 798,612 × 798,612
  4. Step 4: Simplify right side
    370,506x = 637,781,126,544
  5. Step 5: Solve for x
    x = 637,781,126,544/370,506
  6. Step 6: Final answer
    x = 1,721,378.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.