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Finding the Third Proportional to 478,853.75 and 714,128.25

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Solution

The third proportional to 478,853.75 and 714,128.25 is: 1,064,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,853.75 : 714,128.25 = 714,128.25 : x
  2. Step 2: Convert to fraction form
    478,853.75/714,128.25 = 714,128.25/x
  3. Step 3: Cross multiply
    478,853.75x = 714,128.25 × 714,128.25
  4. Step 4: Simplify right side
    478,853.75x = 509,979,157,448.06
  5. Step 5: Solve for x
    x = 509,979,157,448.06/478,853.75
  6. Step 6: Final answer
    x = 1,064,999.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.