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Finding the Third Proportional to 761,152.50 and 1,656,297.98

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Solution

The third proportional to 761,152.50 and 1,656,297.98 is: 3,604,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,152.50 : 1,656,297.98 = 1,656,297.98 : x
  2. Step 2: Convert to fraction form
    761,152.50/1,656,297.98 = 1,656,297.98/x
  3. Step 3: Cross multiply
    761,152.50x = 1,656,297.98 × 1,656,297.98
  4. Step 4: Simplify right side
    761,152.50x = 2,743,323,013,044.69
  5. Step 5: Solve for x
    x = 2,743,323,013,044.69/761,152.50
  6. Step 6: Final answer
    x = 3,604,170.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.