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Finding the Third Proportional to 302,875.13 and 468,915.75

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Solution

The third proportional to 302,875.13 and 468,915.75 is: 725,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,875.13 : 468,915.75 = 468,915.75 : x
  2. Step 2: Convert to fraction form
    302,875.13/468,915.75 = 468,915.75/x
  3. Step 3: Cross multiply
    302,875.13x = 468,915.75 × 468,915.75
  4. Step 4: Simplify right side
    302,875.13x = 219,881,980,598.06
  5. Step 5: Solve for x
    x = 219,881,980,598.06/302,875.13
  6. Step 6: Final answer
    x = 725,982.30

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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.