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Finding the Third Proportional to 254,564 and 502,703.50

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Solution

The third proportional to 254,564 and 502,703.50 is: 992,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,564 : 502,703.50 = 502,703.50 : x
  2. Step 2: Convert to fraction form
    254,564/502,703.50 = 502,703.50/x
  3. Step 3: Cross multiply
    254,564x = 502,703.50 × 502,703.50
  4. Step 4: Simplify right side
    254,564x = 252,710,808,912.25
  5. Step 5: Solve for x
    x = 252,710,808,912.25/254,564
  6. Step 6: Final answer
    x = 992,720.14

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.