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Finding the Third Proportional to 238,802,740 and 506,303,240

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Solution

The third proportional to 238,802,740 and 506,303,240 is: 1,073,450,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,802,740 : 506,303,240 = 506,303,240 : x
  2. Step 2: Convert to fraction form
    238,802,740/506,303,240 = 506,303,240/x
  3. Step 3: Cross multiply
    238,802,740x = 506,303,240 × 506,303,240
  4. Step 4: Simplify right side
    238,802,740x = 256,342,970,834,497,600
  5. Step 5: Solve for x
    x = 256,342,970,834,497,600/238,802,740
  6. Step 6: Final answer
    x = 1,073,450,710.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.