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Finding the Third Proportional to 243,294,840 and 503,835,270

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Solution

The third proportional to 243,294,840 and 503,835,270 is: 1,043,384,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,294,840 : 503,835,270 = 503,835,270 : x
  2. Step 2: Convert to fraction form
    243,294,840/503,835,270 = 503,835,270/x
  3. Step 3: Cross multiply
    243,294,840x = 503,835,270 × 503,835,270
  4. Step 4: Simplify right side
    243,294,840x = 253,849,979,295,972,896
  5. Step 5: Solve for x
    x = 253,849,979,295,972,896/243,294,840
  6. Step 6: Final answer
    x = 1,043,384,147.79

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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.