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Finding the Third Proportional to 429,165 and 630,594

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Solution

The third proportional to 429,165 and 630,594 is: 926,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,165 : 630,594 = 630,594 : x
  2. Step 2: Convert to fraction form
    429,165/630,594 = 630,594/x
  3. Step 3: Cross multiply
    429,165x = 630,594 × 630,594
  4. Step 4: Simplify right side
    429,165x = 397,648,792,836
  5. Step 5: Solve for x
    x = 397,648,792,836/429,165
  6. Step 6: Final answer
    x = 926,563.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.