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Finding the Third Proportional to 255,168,276 and 556,520,280

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Solution

The third proportional to 255,168,276 and 556,520,280 is: 1,213,766,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,168,276 : 556,520,280 = 556,520,280 : x
  2. Step 2: Convert to fraction form
    255,168,276/556,520,280 = 556,520,280/x
  3. Step 3: Cross multiply
    255,168,276x = 556,520,280 × 556,520,280
  4. Step 4: Simplify right side
    255,168,276x = 309,714,822,051,278,400
  5. Step 5: Solve for x
    x = 309,714,822,051,278,400/255,168,276
  6. Step 6: Final answer
    x = 1,213,766,957.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.