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Finding the Third Proportional to 464,994 and 658,147.50

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Solution

The third proportional to 464,994 and 658,147.50 is: 931,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,994 : 658,147.50 = 658,147.50 : x
  2. Step 2: Convert to fraction form
    464,994/658,147.50 = 658,147.50/x
  3. Step 3: Cross multiply
    464,994x = 658,147.50 × 658,147.50
  4. Step 4: Simplify right side
    464,994x = 433,158,131,756.25
  5. Step 5: Solve for x
    x = 433,158,131,756.25/464,994
  6. Step 6: Final answer
    x = 931,534.88

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.