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Finding the Third Proportional to 258,451,680 and 553,232,712

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Solution

The third proportional to 258,451,680 and 553,232,712 is: 1,184,230,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,451,680 : 553,232,712 = 553,232,712 : x
  2. Step 2: Convert to fraction form
    258,451,680/553,232,712 = 553,232,712/x
  3. Step 3: Cross multiply
    258,451,680x = 553,232,712 × 553,232,712
  4. Step 4: Simplify right side
    258,451,680x = 306,066,433,626,874,944
  5. Step 5: Solve for x
    x = 306,066,433,626,874,944/258,451,680
  6. Step 6: Final answer
    x = 1,184,230,776.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.