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Finding the Third Proportional to 230,382,804 and 507,724,960

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Solution

The third proportional to 230,382,804 and 507,724,960 is: 1,118,940,435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,382,804 : 507,724,960 = 507,724,960 : x
  2. Step 2: Convert to fraction form
    230,382,804/507,724,960 = 507,724,960/x
  3. Step 3: Cross multiply
    230,382,804x = 507,724,960 × 507,724,960
  4. Step 4: Simplify right side
    230,382,804x = 257,784,635,007,001,600
  5. Step 5: Solve for x
    x = 257,784,635,007,001,600/230,382,804
  6. Step 6: Final answer
    x = 1,118,940,435.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.