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Finding the Third Proportional to 559,368 and 886,176

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Solution

The third proportional to 559,368 and 886,176 is: 1,403,919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,368 : 886,176 = 886,176 : x
  2. Step 2: Convert to fraction form
    559,368/886,176 = 886,176/x
  3. Step 3: Cross multiply
    559,368x = 886,176 × 886,176
  4. Step 4: Simplify right side
    559,368x = 785,307,902,976
  5. Step 5: Solve for x
    x = 785,307,902,976/559,368
  6. Step 6: Final answer
    x = 1,403,919.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.