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Finding the Third Proportional to 350,032.50 and 748,046

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Solution

The third proportional to 350,032.50 and 748,046 is: 1,598,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,032.50 : 748,046 = 748,046 : x
  2. Step 2: Convert to fraction form
    350,032.50/748,046 = 748,046/x
  3. Step 3: Cross multiply
    350,032.50x = 748,046 × 748,046
  4. Step 4: Simplify right side
    350,032.50x = 559,572,818,116
  5. Step 5: Solve for x
    x = 559,572,818,116/350,032.50
  6. Step 6: Final answer
    x = 1,598,631.04

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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.