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Finding the Third Proportional to 559,415 and 860,361

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Solution

The third proportional to 559,415 and 860,361 is: 1,323,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,415 : 860,361 = 860,361 : x
  2. Step 2: Convert to fraction form
    559,415/860,361 = 860,361/x
  3. Step 3: Cross multiply
    559,415x = 860,361 × 860,361
  4. Step 4: Simplify right side
    559,415x = 740,221,050,321
  5. Step 5: Solve for x
    x = 740,221,050,321/559,415
  6. Step 6: Final answer
    x = 1,323,205.58

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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.