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Finding the Third Proportional to 404,343,462 and 577,817,316

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Solution

The third proportional to 404,343,462 and 577,817,316 is: 825,715,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,343,462 : 577,817,316 = 577,817,316 : x
  2. Step 2: Convert to fraction form
    404,343,462/577,817,316 = 577,817,316/x
  3. Step 3: Cross multiply
    404,343,462x = 577,817,316 × 577,817,316
  4. Step 4: Simplify right side
    404,343,462x = 333,872,850,669,443,840
  5. Step 5: Solve for x
    x = 333,872,850,669,443,840/404,343,462
  6. Step 6: Final answer
    x = 825,715,961.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.