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Finding the Third Proportional to 630,561 and 960,421.50

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Solution

The third proportional to 630,561 and 960,421.50 is: 1,462,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,561 : 960,421.50 = 960,421.50 : x
  2. Step 2: Convert to fraction form
    630,561/960,421.50 = 960,421.50/x
  3. Step 3: Cross multiply
    630,561x = 960,421.50 × 960,421.50
  4. Step 4: Simplify right side
    630,561x = 922,409,457,662.25
  5. Step 5: Solve for x
    x = 922,409,457,662.25/630,561
  6. Step 6: Final answer
    x = 1,462,839.37

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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.