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Finding the Third Proportional to 328,444,931 and 459,185,344

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Solution

The third proportional to 328,444,931 and 459,185,344 is: 641,968,136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,444,931 : 459,185,344 = 459,185,344 : x
  2. Step 2: Convert to fraction form
    328,444,931/459,185,344 = 459,185,344/x
  3. Step 3: Cross multiply
    328,444,931x = 459,185,344 × 459,185,344
  4. Step 4: Simplify right side
    328,444,931x = 210,851,180,144,398,336
  5. Step 5: Solve for x
    x = 210,851,180,144,398,336/328,444,931
  6. Step 6: Final answer
    x = 641,968,136.04

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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.