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Finding the Third Proportional to 370,905 and 794,298

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Solution

The third proportional to 370,905 and 794,298 is: 1,700,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,905 : 794,298 = 794,298 : x
  2. Step 2: Convert to fraction form
    370,905/794,298 = 794,298/x
  3. Step 3: Cross multiply
    370,905x = 794,298 × 794,298
  4. Step 4: Simplify right side
    370,905x = 630,909,312,804
  5. Step 5: Solve for x
    x = 630,909,312,804/370,905
  6. Step 6: Final answer
    x = 1,700,999.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.