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Finding the Third Proportional to 553,945.50 and 829,971

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Solution

The third proportional to 553,945.50 and 829,971 is: 1,243,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,945.50 : 829,971 = 829,971 : x
  2. Step 2: Convert to fraction form
    553,945.50/829,971 = 829,971/x
  3. Step 3: Cross multiply
    553,945.50x = 829,971 × 829,971
  4. Step 4: Simplify right side
    553,945.50x = 688,851,860,841
  5. Step 5: Solve for x
    x = 688,851,860,841/553,945.50
  6. Step 6: Final answer
    x = 1,243,537.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.