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Finding the Third Proportional to 566,458.50 and 864,478.50

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Solution

The third proportional to 566,458.50 and 864,478.50 is: 1,319,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,458.50 : 864,478.50 = 864,478.50 : x
  2. Step 2: Convert to fraction form
    566,458.50/864,478.50 = 864,478.50/x
  3. Step 3: Cross multiply
    566,458.50x = 864,478.50 × 864,478.50
  4. Step 4: Simplify right side
    566,458.50x = 747,323,076,962.25
  5. Step 5: Solve for x
    x = 747,323,076,962.25/566,458.50
  6. Step 6: Final answer
    x = 1,319,290.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.