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Finding the Third Proportional to 328,740,507 and 493,543,165.50

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Solution

The third proportional to 328,740,507 and 493,543,165.50 is: 740,963,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,740,507 : 493,543,165.50 = 493,543,165.50 : x
  2. Step 2: Convert to fraction form
    328,740,507/493,543,165.50 = 493,543,165.50/x
  3. Step 3: Cross multiply
    328,740,507x = 493,543,165.50 × 493,543,165.50
  4. Step 4: Simplify right side
    328,740,507x = 243,584,856,211,760,384
  5. Step 5: Solve for x
    x = 243,584,856,211,760,384/328,740,507
  6. Step 6: Final answer
    x = 740,963,924.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.