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Finding the Third Proportional to 630,569 and 960,433

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Solution

The third proportional to 630,569 and 960,433 is: 1,462,855.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,569 : 960,433 = 960,433 : x
  2. Step 2: Convert to fraction form
    630,569/960,433 = 960,433/x
  3. Step 3: Cross multiply
    630,569x = 960,433 × 960,433
  4. Step 4: Simplify right side
    630,569x = 922,431,547,489
  5. Step 5: Solve for x
    x = 922,431,547,489/630,569
  6. Step 6: Final answer
    x = 1,462,855.85

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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.