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Finding the Third Proportional to 243,277,405 and 503,801,127

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Solution

The third proportional to 243,277,405 and 503,801,127 is: 1,043,317,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,277,405 : 503,801,127 = 503,801,127 : x
  2. Step 2: Convert to fraction form
    243,277,405/503,801,127 = 503,801,127/x
  3. Step 3: Cross multiply
    243,277,405x = 503,801,127 × 503,801,127
  4. Step 4: Simplify right side
    243,277,405x = 253,815,575,566,470,144
  5. Step 5: Solve for x
    x = 253,815,575,566,470,144/243,277,405
  6. Step 6: Final answer
    x = 1,043,317,506.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.