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Finding the Third Proportional to 364,843,265 and 565,406,610

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Solution

The third proportional to 364,843,265 and 565,406,610 is: 876,224,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,843,265 : 565,406,610 = 565,406,610 : x
  2. Step 2: Convert to fraction form
    364,843,265/565,406,610 = 565,406,610/x
  3. Step 3: Cross multiply
    364,843,265x = 565,406,610 × 565,406,610
  4. Step 4: Simplify right side
    364,843,265x = 319,684,634,631,692,096
  5. Step 5: Solve for x
    x = 319,684,634,631,692,096/364,843,265
  6. Step 6: Final answer
    x = 876,224,574.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.