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Finding the Third Proportional to 328,444,934 and 459,185,348

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Solution

The third proportional to 328,444,934 and 459,185,348 is: 641,968,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,444,934 : 459,185,348 = 459,185,348 : x
  2. Step 2: Convert to fraction form
    328,444,934/459,185,348 = 459,185,348/x
  3. Step 3: Cross multiply
    328,444,934x = 459,185,348 × 459,185,348
  4. Step 4: Simplify right side
    328,444,934x = 210,851,183,817,881,088
  5. Step 5: Solve for x
    x = 210,851,183,817,881,088/328,444,934
  6. Step 6: Final answer
    x = 641,968,141.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.