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Finding the Third Proportional to 301,286,966.50 and 652,851,842

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Solution

The third proportional to 301,286,966.50 and 652,851,842 is: 1,414,649,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,286,966.50 : 652,851,842 = 652,851,842 : x
  2. Step 2: Convert to fraction form
    301,286,966.50/652,851,842 = 652,851,842/x
  3. Step 3: Cross multiply
    301,286,966.50x = 652,851,842 × 652,851,842
  4. Step 4: Simplify right side
    301,286,966.50x = 426,215,527,602,792,960
  5. Step 5: Solve for x
    x = 426,215,527,602,792,960/301,286,966.50
  6. Step 6: Final answer
    x = 1,414,649,735.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.