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Finding the Third Proportional to 554,477.06 and 834,175.13

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Solution

The third proportional to 554,477.06 and 834,175.13 is: 1,254,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,477.06 : 834,175.13 = 834,175.13 : x
  2. Step 2: Convert to fraction form
    554,477.06/834,175.13 = 834,175.13/x
  3. Step 3: Cross multiply
    554,477.06x = 834,175.13 × 834,175.13
  4. Step 4: Simplify right side
    554,477.06x = 695,848,139,168.77
  5. Step 5: Solve for x
    x = 695,848,139,168.77/554,477.06
  6. Step 6: Final answer
    x = 1,254,962.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.