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Finding the Third Proportional to 559,902 and 850,221

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Solution

The third proportional to 559,902 and 850,221 is: 1,291,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,902 : 850,221 = 850,221 : x
  2. Step 2: Convert to fraction form
    559,902/850,221 = 850,221/x
  3. Step 3: Cross multiply
    559,902x = 850,221 × 850,221
  4. Step 4: Simplify right side
    559,902x = 722,875,748,841
  5. Step 5: Solve for x
    x = 722,875,748,841/559,902
  6. Step 6: Final answer
    x = 1,291,075.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.