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Finding the Third Proportional to 270,768,390 and 412,501,257

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Solution

The third proportional to 270,768,390 and 412,501,257 is: 628,423,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,768,390 : 412,501,257 = 412,501,257 : x
  2. Step 2: Convert to fraction form
    270,768,390/412,501,257 = 412,501,257/x
  3. Step 3: Cross multiply
    270,768,390x = 412,501,257 × 412,501,257
  4. Step 4: Simplify right side
    270,768,390x = 170,157,287,026,580,064
  5. Step 5: Solve for x
    x = 170,157,287,026,580,064/270,768,390
  6. Step 6: Final answer
    x = 628,423,750.00

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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.