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Finding the Third Proportional to 364,843,284 and 565,406,634

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Solution

The third proportional to 364,843,284 and 565,406,634 is: 876,224,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,843,284 : 565,406,634 = 565,406,634 : x
  2. Step 2: Convert to fraction form
    364,843,284/565,406,634 = 565,406,634/x
  3. Step 3: Cross multiply
    364,843,284x = 565,406,634 × 565,406,634
  4. Step 4: Simplify right side
    364,843,284x = 319,684,661,771,209,984
  5. Step 5: Solve for x
    x = 319,684,661,771,209,984/364,843,284
  6. Step 6: Final answer
    x = 876,224,603.25

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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.