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Finding the Third Proportional to 256,520 and 556,844

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Solution

The third proportional to 256,520 and 556,844 is: 1,208,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,520 : 556,844 = 556,844 : x
  2. Step 2: Convert to fraction form
    256,520/556,844 = 556,844/x
  3. Step 3: Cross multiply
    256,520x = 556,844 × 556,844
  4. Step 4: Simplify right side
    256,520x = 310,075,240,336
  5. Step 5: Solve for x
    x = 310,075,240,336/256,520
  6. Step 6: Final answer
    x = 1,208,776.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.