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Finding the Third Proportional to 290,607 and 392,512.50

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Solution

The third proportional to 290,607 and 392,512.50 is: 530,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,607 : 392,512.50 = 392,512.50 : x
  2. Step 2: Convert to fraction form
    290,607/392,512.50 = 392,512.50/x
  3. Step 3: Cross multiply
    290,607x = 392,512.50 × 392,512.50
  4. Step 4: Simplify right side
    290,607x = 154,066,062,656.25
  5. Step 5: Solve for x
    x = 154,066,062,656.25/290,607
  6. Step 6: Final answer
    x = 530,152.62

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.