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Finding the Third Proportional to 611,030.88 and 924,409.13

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Solution

The third proportional to 611,030.88 and 924,409.13 is: 1,398,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,030.88 : 924,409.13 = 924,409.13 : x
  2. Step 2: Convert to fraction form
    611,030.88/924,409.13 = 924,409.13/x
  3. Step 3: Cross multiply
    611,030.88x = 924,409.13 × 924,409.13
  4. Step 4: Simplify right side
    611,030.88x = 854,532,230,383.27
  5. Step 5: Solve for x
    x = 854,532,230,383.27/611,030.88
  6. Step 6: Final answer
    x = 1,398,509.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.