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Finding the Third Proportional to 281,946 and 607,903.50

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Solution

The third proportional to 281,946 and 607,903.50 is: 1,310,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,946 : 607,903.50 = 607,903.50 : x
  2. Step 2: Convert to fraction form
    281,946/607,903.50 = 607,903.50/x
  3. Step 3: Cross multiply
    281,946x = 607,903.50 × 607,903.50
  4. Step 4: Simplify right side
    281,946x = 369,546,665,312.25
  5. Step 5: Solve for x
    x = 369,546,665,312.25/281,946
  6. Step 6: Final answer
    x = 1,310,700.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.