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Finding the Third Proportional to 326,748 and 499,732

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Solution

The third proportional to 326,748 and 499,732 is: 764,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,748 : 499,732 = 499,732 : x
  2. Step 2: Convert to fraction form
    326,748/499,732 = 499,732/x
  3. Step 3: Cross multiply
    326,748x = 499,732 × 499,732
  4. Step 4: Simplify right side
    326,748x = 249,732,071,824
  5. Step 5: Solve for x
    x = 249,732,071,824/326,748
  6. Step 6: Final answer
    x = 764,295.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.