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Finding the Third Proportional to 302,871,397 and 658,808,984

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Solution

The third proportional to 302,871,397 and 658,808,984 is: 1,433,048,091.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,871,397 : 658,808,984 = 658,808,984 : x
  2. Step 2: Convert to fraction form
    302,871,397/658,808,984 = 658,808,984/x
  3. Step 3: Cross multiply
    302,871,397x = 658,808,984 × 658,808,984
  4. Step 4: Simplify right side
    302,871,397x = 434,029,277,399,112,256
  5. Step 5: Solve for x
    x = 434,029,277,399,112,256/302,871,397
  6. Step 6: Final answer
    x = 1,433,048,091.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.