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Finding the Third Proportional to 630,349 and 943,295

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Solution

The third proportional to 630,349 and 943,295 is: 1,411,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,349 : 943,295 = 943,295 : x
  2. Step 2: Convert to fraction form
    630,349/943,295 = 943,295/x
  3. Step 3: Cross multiply
    630,349x = 943,295 × 943,295
  4. Step 4: Simplify right side
    630,349x = 889,805,457,025
  5. Step 5: Solve for x
    x = 889,805,457,025/630,349
  6. Step 6: Final answer
    x = 1,411,607.63

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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.