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Finding the Third Proportional to 496,947 and 662,098.50

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Solution

The third proportional to 496,947 and 662,098.50 is: 882,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,947 : 662,098.50 = 662,098.50 : x
  2. Step 2: Convert to fraction form
    496,947/662,098.50 = 662,098.50/x
  3. Step 3: Cross multiply
    496,947x = 662,098.50 × 662,098.50
  4. Step 4: Simplify right side
    496,947x = 438,374,423,702.25
  5. Step 5: Solve for x
    x = 438,374,423,702.25/496,947
  6. Step 6: Final answer
    x = 882,135.16

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.