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Finding the Third Proportional to 541,237 and 841,384.50

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Solution

The third proportional to 541,237 and 841,384.50 is: 1,307,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,237 : 841,384.50 = 841,384.50 : x
  2. Step 2: Convert to fraction form
    541,237/841,384.50 = 841,384.50/x
  3. Step 3: Cross multiply
    541,237x = 841,384.50 × 841,384.50
  4. Step 4: Simplify right side
    541,237x = 707,927,876,840.25
  5. Step 5: Solve for x
    x = 707,927,876,840.25/541,237
  6. Step 6: Final answer
    x = 1,307,981.30

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