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Finding the Third Proportional to 364,587.50 and 570,627.75

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Solution

The third proportional to 364,587.50 and 570,627.75 is: 893,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,587.50 : 570,627.75 = 570,627.75 : x
  2. Step 2: Convert to fraction form
    364,587.50/570,627.75 = 570,627.75/x
  3. Step 3: Cross multiply
    364,587.50x = 570,627.75 × 570,627.75
  4. Step 4: Simplify right side
    364,587.50x = 325,616,029,070.06
  5. Step 5: Solve for x
    x = 325,616,029,070.06/364,587.50
  6. Step 6: Final answer
    x = 893,108.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.