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Finding the Third Proportional to 553,266 and 854,455.50

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Solution

The third proportional to 553,266 and 854,455.50 is: 1,319,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,266 : 854,455.50 = 854,455.50 : x
  2. Step 2: Convert to fraction form
    553,266/854,455.50 = 854,455.50/x
  3. Step 3: Cross multiply
    553,266x = 854,455.50 × 854,455.50
  4. Step 4: Simplify right side
    553,266x = 730,094,201,480.25
  5. Step 5: Solve for x
    x = 730,094,201,480.25/553,266
  6. Step 6: Final answer
    x = 1,319,607.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.