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Finding the Third Proportional to 404,343,465 and 577,817,319

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Solution

The third proportional to 404,343,465 and 577,817,319 is: 825,715,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,343,465 : 577,817,319 = 577,817,319 : x
  2. Step 2: Convert to fraction form
    404,343,465/577,817,319 = 577,817,319/x
  3. Step 3: Cross multiply
    404,343,465x = 577,817,319 × 577,817,319
  4. Step 4: Simplify right side
    404,343,465x = 333,872,854,136,347,776
  5. Step 5: Solve for x
    x = 333,872,854,136,347,776/404,343,465
  6. Step 6: Final answer
    x = 825,715,964.36

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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.