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Finding the Third Proportional to 230,382,817 and 507,724,988

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Solution

The third proportional to 230,382,817 and 507,724,988 is: 1,118,940,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,382,817 : 507,724,988 = 507,724,988 : x
  2. Step 2: Convert to fraction form
    230,382,817/507,724,988 = 507,724,988/x
  3. Step 3: Cross multiply
    230,382,817x = 507,724,988 × 507,724,988
  4. Step 4: Simplify right side
    230,382,817x = 257,784,663,439,600,128
  5. Step 5: Solve for x
    x = 257,784,663,439,600,128/230,382,817
  6. Step 6: Final answer
    x = 1,118,940,495.63

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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.