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Finding the Third Proportional to 346,461.75 and 514,631.25

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Solution

The third proportional to 346,461.75 and 514,631.25 is: 764,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,461.75 : 514,631.25 = 514,631.25 : x
  2. Step 2: Convert to fraction form
    346,461.75/514,631.25 = 514,631.25/x
  3. Step 3: Cross multiply
    346,461.75x = 514,631.25 × 514,631.25
  4. Step 4: Simplify right side
    346,461.75x = 264,845,323,476.56
  5. Step 5: Solve for x
    x = 264,845,323,476.56/346,461.75
  6. Step 6: Final answer
    x = 764,428.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.