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Finding the Third Proportional to 310,575 and 665,438

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Solution

The third proportional to 310,575 and 665,438 is: 1,425,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,575 : 665,438 = 665,438 : x
  2. Step 2: Convert to fraction form
    310,575/665,438 = 665,438/x
  3. Step 3: Cross multiply
    310,575x = 665,438 × 665,438
  4. Step 4: Simplify right side
    310,575x = 442,807,731,844
  5. Step 5: Solve for x
    x = 442,807,731,844/310,575
  6. Step 6: Final answer
    x = 1,425,767.47

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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.