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Finding the Third Proportional to 630,558 and 960,417

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Solution

The third proportional to 630,558 and 960,417 is: 1,462,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,558 : 960,417 = 960,417 : x
  2. Step 2: Convert to fraction form
    630,558/960,417 = 960,417/x
  3. Step 3: Cross multiply
    630,558x = 960,417 × 960,417
  4. Step 4: Simplify right side
    630,558x = 922,400,813,889
  5. Step 5: Solve for x
    x = 922,400,813,889/630,558
  6. Step 6: Final answer
    x = 1,462,832.62

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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.