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Finding the Third Proportional to 459,637.88 and 759,623.06

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Solution

The third proportional to 459,637.88 and 759,623.06 is: 1,255,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,637.88 : 759,623.06 = 759,623.06 : x
  2. Step 2: Convert to fraction form
    459,637.88/759,623.06 = 759,623.06/x
  3. Step 3: Cross multiply
    459,637.88x = 759,623.06 × 759,623.06
  4. Step 4: Simplify right side
    459,637.88x = 577,027,197,081.88
  5. Step 5: Solve for x
    x = 577,027,197,081.88/459,637.88
  6. Step 6: Final answer
    x = 1,255,395.23

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.