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Finding the Third Proportional to 489,325.50 and 715,106.25

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Solution

The third proportional to 489,325.50 and 715,106.25 is: 1,045,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,325.50 : 715,106.25 = 715,106.25 : x
  2. Step 2: Convert to fraction form
    489,325.50/715,106.25 = 715,106.25/x
  3. Step 3: Cross multiply
    489,325.50x = 715,106.25 × 715,106.25
  4. Step 4: Simplify right side
    489,325.50x = 511,376,948,789.06
  5. Step 5: Solve for x
    x = 511,376,948,789.06/489,325.50
  6. Step 6: Final answer
    x = 1,045,064.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.