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Finding the Third Proportional to 438,513.75 and 946,971

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Solution

The third proportional to 438,513.75 and 946,971 is: 2,044,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,513.75 : 946,971 = 946,971 : x
  2. Step 2: Convert to fraction form
    438,513.75/946,971 = 946,971/x
  3. Step 3: Cross multiply
    438,513.75x = 946,971 × 946,971
  4. Step 4: Simplify right side
    438,513.75x = 896,754,074,841
  5. Step 5: Solve for x
    x = 896,754,074,841/438,513.75
  6. Step 6: Final answer
    x = 2,044,985.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.