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Finding the Third Proportional to 290,064 and 448,216.50

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Solution

The third proportional to 290,064 and 448,216.50 is: 692,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,064 : 448,216.50 = 448,216.50 : x
  2. Step 2: Convert to fraction form
    290,064/448,216.50 = 448,216.50/x
  3. Step 3: Cross multiply
    290,064x = 448,216.50 × 448,216.50
  4. Step 4: Simplify right side
    290,064x = 200,898,030,872.25
  5. Step 5: Solve for x
    x = 200,898,030,872.25/290,064
  6. Step 6: Final answer
    x = 692,598.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.