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Finding the Third Proportional to 307,996,640 and 469,752,526

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Solution

The third proportional to 307,996,640 and 469,752,526 is: 716,460,529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,996,640 : 469,752,526 = 469,752,526 : x
  2. Step 2: Convert to fraction form
    307,996,640/469,752,526 = 469,752,526/x
  3. Step 3: Cross multiply
    307,996,640x = 469,752,526 × 469,752,526
  4. Step 4: Simplify right side
    307,996,640x = 220,667,435,683,380,672
  5. Step 5: Solve for x
    x = 220,667,435,683,380,672/307,996,640
  6. Step 6: Final answer
    x = 716,460,529.19

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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.