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Finding the Third Proportional to 326,664 and 719,541

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Solution

The third proportional to 326,664 and 719,541 is: 1,584,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,664 : 719,541 = 719,541 : x
  2. Step 2: Convert to fraction form
    326,664/719,541 = 719,541/x
  3. Step 3: Cross multiply
    326,664x = 719,541 × 719,541
  4. Step 4: Simplify right side
    326,664x = 517,739,250,681
  5. Step 5: Solve for x
    x = 517,739,250,681/326,664
  6. Step 6: Final answer
    x = 1,584,929.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.