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Finding the Third Proportional to 559,278 and 872,046

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Solution

The third proportional to 559,278 and 872,046 is: 1,359,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,278 : 872,046 = 872,046 : x
  2. Step 2: Convert to fraction form
    559,278/872,046 = 872,046/x
  3. Step 3: Cross multiply
    559,278x = 872,046 × 872,046
  4. Step 4: Simplify right side
    559,278x = 760,464,226,116
  5. Step 5: Solve for x
    x = 760,464,226,116/559,278
  6. Step 6: Final answer
    x = 1,359,724.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.