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Finding the Third Proportional to 255,450,648 and 559,262,373

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Solution

The third proportional to 255,450,648 and 559,262,373 is: 1,224,402,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,450,648 : 559,262,373 = 559,262,373 : x
  2. Step 2: Convert to fraction form
    255,450,648/559,262,373 = 559,262,373/x
  3. Step 3: Cross multiply
    255,450,648x = 559,262,373 × 559,262,373
  4. Step 4: Simplify right side
    255,450,648x = 312,774,401,853,591,104
  5. Step 5: Solve for x
    x = 312,774,401,853,591,104/255,450,648
  6. Step 6: Final answer
    x = 1,224,402,460.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.