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Finding the Third Proportional to 572,819 and 841,684.50

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Solution

The third proportional to 572,819 and 841,684.50 is: 1,236,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,819 : 841,684.50 = 841,684.50 : x
  2. Step 2: Convert to fraction form
    572,819/841,684.50 = 841,684.50/x
  3. Step 3: Cross multiply
    572,819x = 841,684.50 × 841,684.50
  4. Step 4: Simplify right side
    572,819x = 708,432,797,540.25
  5. Step 5: Solve for x
    x = 708,432,797,540.25/572,819
  6. Step 6: Final answer
    x = 1,236,748.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.