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Finding the Third Proportional to 572,457 and 777,444.75

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Solution

The third proportional to 572,457 and 777,444.75 is: 1,055,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,457 : 777,444.75 = 777,444.75 : x
  2. Step 2: Convert to fraction form
    572,457/777,444.75 = 777,444.75/x
  3. Step 3: Cross multiply
    572,457x = 777,444.75 × 777,444.75
  4. Step 4: Simplify right side
    572,457x = 604,420,339,302.56
  5. Step 5: Solve for x
    x = 604,420,339,302.56/572,457
  6. Step 6: Final answer
    x = 1,055,835.35

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.