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Finding the Third Proportional to 357,592 and 540,033

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Solution

The third proportional to 357,592 and 540,033 is: 815,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,592 : 540,033 = 540,033 : x
  2. Step 2: Convert to fraction form
    357,592/540,033 = 540,033/x
  3. Step 3: Cross multiply
    357,592x = 540,033 × 540,033
  4. Step 4: Simplify right side
    357,592x = 291,635,641,089
  5. Step 5: Solve for x
    x = 291,635,641,089/357,592
  6. Step 6: Final answer
    x = 815,554.15

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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.