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Finding the Third Proportional to 310,735.50 and 470,304

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Solution

The third proportional to 310,735.50 and 470,304 is: 711,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,735.50 : 470,304 = 470,304 : x
  2. Step 2: Convert to fraction form
    310,735.50/470,304 = 470,304/x
  3. Step 3: Cross multiply
    310,735.50x = 470,304 × 470,304
  4. Step 4: Simplify right side
    310,735.50x = 221,185,852,416
  5. Step 5: Solve for x
    x = 221,185,852,416/310,735.50
  6. Step 6: Final answer
    x = 711,813.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.