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Finding the Third Proportional to 277,360,460 and 600,943,192

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Solution

The third proportional to 277,360,460 and 600,943,192 is: 1,302,033,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,360,460 : 600,943,192 = 600,943,192 : x
  2. Step 2: Convert to fraction form
    277,360,460/600,943,192 = 600,943,192/x
  3. Step 3: Cross multiply
    277,360,460x = 600,943,192 × 600,943,192
  4. Step 4: Simplify right side
    277,360,460x = 361,132,720,011,148,864
  5. Step 5: Solve for x
    x = 361,132,720,011,148,864/277,360,460
  6. Step 6: Final answer
    x = 1,302,033,894.85

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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.