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Finding the Third Proportional to 319,737 and 492,729

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Solution

The third proportional to 319,737 and 492,729 is: 759,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,737 : 492,729 = 492,729 : x
  2. Step 2: Convert to fraction form
    319,737/492,729 = 492,729/x
  3. Step 3: Cross multiply
    319,737x = 492,729 × 492,729
  4. Step 4: Simplify right side
    319,737x = 242,781,867,441
  5. Step 5: Solve for x
    x = 242,781,867,441/319,737
  6. Step 6: Final answer
    x = 759,317.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.