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Finding the Third Proportional to 346,287 and 524,033

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Solution

The third proportional to 346,287 and 524,033 is: 793,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,287 : 524,033 = 524,033 : x
  2. Step 2: Convert to fraction form
    346,287/524,033 = 524,033/x
  3. Step 3: Cross multiply
    346,287x = 524,033 × 524,033
  4. Step 4: Simplify right side
    346,287x = 274,610,585,089
  5. Step 5: Solve for x
    x = 274,610,585,089/346,287
  6. Step 6: Final answer
    x = 793,014.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.