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Finding the Third Proportional to 241,683,590 and 369,460,767

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Solution

The third proportional to 241,683,590 and 369,460,767 is: 564,793,242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,683,590 : 369,460,767 = 369,460,767 : x
  2. Step 2: Convert to fraction form
    241,683,590/369,460,767 = 369,460,767/x
  3. Step 3: Cross multiply
    241,683,590x = 369,460,767 × 369,460,767
  4. Step 4: Simplify right side
    241,683,590x = 136,501,258,352,228,288
  5. Step 5: Solve for x
    x = 136,501,258,352,228,288/241,683,590
  6. Step 6: Final answer
    x = 564,793,242.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.