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Finding the Third Proportional to 630,567 and 960,430

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Solution

The third proportional to 630,567 and 960,430 is: 1,462,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,567 : 960,430 = 960,430 : x
  2. Step 2: Convert to fraction form
    630,567/960,430 = 960,430/x
  3. Step 3: Cross multiply
    630,567x = 960,430 × 960,430
  4. Step 4: Simplify right side
    630,567x = 922,425,784,900
  5. Step 5: Solve for x
    x = 922,425,784,900/630,567
  6. Step 6: Final answer
    x = 1,462,851.35

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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.