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Finding the Third Proportional to 366,004 and 546,851.50

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Solution

The third proportional to 366,004 and 546,851.50 is: 817,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,004 : 546,851.50 = 546,851.50 : x
  2. Step 2: Convert to fraction form
    366,004/546,851.50 = 546,851.50/x
  3. Step 3: Cross multiply
    366,004x = 546,851.50 × 546,851.50
  4. Step 4: Simplify right side
    366,004x = 299,046,563,052.25
  5. Step 5: Solve for x
    x = 299,046,563,052.25/366,004
  6. Step 6: Final answer
    x = 817,058.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.