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Finding the Third Proportional to 370,931 and 794,336.50

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Solution

The third proportional to 370,931 and 794,336.50 is: 1,701,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,931 : 794,336.50 = 794,336.50 : x
  2. Step 2: Convert to fraction form
    370,931/794,336.50 = 794,336.50/x
  3. Step 3: Cross multiply
    370,931x = 794,336.50 × 794,336.50
  4. Step 4: Simplify right side
    370,931x = 630,970,475,232.25
  5. Step 5: Solve for x
    x = 630,970,475,232.25/370,931
  6. Step 6: Final answer
    x = 1,701,045.41

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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.