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Finding the Third Proportional to 390,212,264 and 560,871,908

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Solution

The third proportional to 390,212,264 and 560,871,908 is: 806,169,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,212,264 : 560,871,908 = 560,871,908 : x
  2. Step 2: Convert to fraction form
    390,212,264/560,871,908 = 560,871,908/x
  3. Step 3: Cross multiply
    390,212,264x = 560,871,908 × 560,871,908
  4. Step 4: Simplify right side
    390,212,264x = 314,577,297,183,560,448
  5. Step 5: Solve for x
    x = 314,577,297,183,560,448/390,212,264
  6. Step 6: Final answer
    x = 806,169,683.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.