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Finding the Third Proportional to 370,232 and 794,032

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Solution

The third proportional to 370,232 and 794,032 is: 1,702,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,232 : 794,032 = 794,032 : x
  2. Step 2: Convert to fraction form
    370,232/794,032 = 794,032/x
  3. Step 3: Cross multiply
    370,232x = 794,032 × 794,032
  4. Step 4: Simplify right side
    370,232x = 630,486,817,024
  5. Step 5: Solve for x
    x = 630,486,817,024/370,232
  6. Step 6: Final answer
    x = 1,702,950.63

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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.