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Finding the Third Proportional to 459,017.51 and 955,290.16

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Solution

The third proportional to 459,017.51 and 955,290.16 is: 1,988,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,017.51 : 955,290.16 = 955,290.16 : x
  2. Step 2: Convert to fraction form
    459,017.51/955,290.16 = 955,290.16/x
  3. Step 3: Cross multiply
    459,017.51x = 955,290.16 × 955,290.16
  4. Step 4: Simplify right side
    459,017.51x = 912,579,297,554.56
  5. Step 5: Solve for x
    x = 912,579,297,554.56/459,017.51
  6. Step 6: Final answer
    x = 1,988,114.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.