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Finding the Third Proportional to 421,966.50 and 904,209

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Solution

The third proportional to 421,966.50 and 904,209 is: 1,937,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,966.50 : 904,209 = 904,209 : x
  2. Step 2: Convert to fraction form
    421,966.50/904,209 = 904,209/x
  3. Step 3: Cross multiply
    421,966.50x = 904,209 × 904,209
  4. Step 4: Simplify right side
    421,966.50x = 817,593,915,681
  5. Step 5: Solve for x
    x = 817,593,915,681/421,966.50
  6. Step 6: Final answer
    x = 1,937,580.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.