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Finding the Third Proportional to 301,551,878 and 656,501,058

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Solution

The third proportional to 301,551,878 and 656,501,058 is: 1,429,252,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,551,878 : 656,501,058 = 656,501,058 : x
  2. Step 2: Convert to fraction form
    301,551,878/656,501,058 = 656,501,058/x
  3. Step 3: Cross multiply
    301,551,878x = 656,501,058 × 656,501,058
  4. Step 4: Simplify right side
    301,551,878x = 430,993,639,155,119,360
  5. Step 5: Solve for x
    x = 430,993,639,155,119,360/301,551,878
  6. Step 6: Final answer
    x = 1,429,252,047.82

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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.