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Finding the Third Proportional to 630,230 and 943,142

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Solution

The third proportional to 630,230 and 943,142 is: 1,411,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,230 : 943,142 = 943,142 : x
  2. Step 2: Convert to fraction form
    630,230/943,142 = 943,142/x
  3. Step 3: Cross multiply
    630,230x = 943,142 × 943,142
  4. Step 4: Simplify right side
    630,230x = 889,516,832,164
  5. Step 5: Solve for x
    x = 889,516,832,164/630,230
  6. Step 6: Final answer
    x = 1,411,416.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.