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Finding the Third Proportional to 564,578 and 877,971

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Solution

The third proportional to 564,578 and 877,971 is: 1,365,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,578 : 877,971 = 877,971 : x
  2. Step 2: Convert to fraction form
    564,578/877,971 = 877,971/x
  3. Step 3: Cross multiply
    564,578x = 877,971 × 877,971
  4. Step 4: Simplify right side
    564,578x = 770,833,076,841
  5. Step 5: Solve for x
    x = 770,833,076,841/564,578
  6. Step 6: Final answer
    x = 1,365,326.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.