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Finding the Third Proportional to 387,323 and 528,043

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Solution

The third proportional to 387,323 and 528,043 is: 719,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,323 : 528,043 = 528,043 : x
  2. Step 2: Convert to fraction form
    387,323/528,043 = 528,043/x
  3. Step 3: Cross multiply
    387,323x = 528,043 × 528,043
  4. Step 4: Simplify right side
    387,323x = 278,829,409,849
  5. Step 5: Solve for x
    x = 278,829,409,849/387,323
  6. Step 6: Final answer
    x = 719,888.59

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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.