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Finding the Third Proportional to 630,099 and 958,294

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Solution

The third proportional to 630,099 and 958,294 is: 1,457,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,099 : 958,294 = 958,294 : x
  2. Step 2: Convert to fraction form
    630,099/958,294 = 958,294/x
  3. Step 3: Cross multiply
    630,099x = 958,294 × 958,294
  4. Step 4: Simplify right side
    630,099x = 918,327,390,436
  5. Step 5: Solve for x
    x = 918,327,390,436/630,099
  6. Step 6: Final answer
    x = 1,457,433.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.