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Finding the Third Proportional to 559,413 and 860,358

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Solution

The third proportional to 559,413 and 860,358 is: 1,323,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,413 : 860,358 = 860,358 : x
  2. Step 2: Convert to fraction form
    559,413/860,358 = 860,358/x
  3. Step 3: Cross multiply
    559,413x = 860,358 × 860,358
  4. Step 4: Simplify right side
    559,413x = 740,215,888,164
  5. Step 5: Solve for x
    x = 740,215,888,164/559,413
  6. Step 6: Final answer
    x = 1,323,201.08

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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.