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Finding the Third Proportional to 434,270 and 671,090.50

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Solution

The third proportional to 434,270 and 671,090.50 is: 1,037,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,270 : 671,090.50 = 671,090.50 : x
  2. Step 2: Convert to fraction form
    434,270/671,090.50 = 671,090.50/x
  3. Step 3: Cross multiply
    434,270x = 671,090.50 × 671,090.50
  4. Step 4: Simplify right side
    434,270x = 450,362,459,190.25
  5. Step 5: Solve for x
    x = 450,362,459,190.25/434,270
  6. Step 6: Final answer
    x = 1,037,056.35

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