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Finding the Third Proportional to 292,210.03 and 466,813.13

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Solution

The third proportional to 292,210.03 and 466,813.13 is: 745,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,210.03 : 466,813.13 = 466,813.13 : x
  2. Step 2: Convert to fraction form
    292,210.03/466,813.13 = 466,813.13/x
  3. Step 3: Cross multiply
    292,210.03x = 466,813.13 × 466,813.13
  4. Step 4: Simplify right side
    292,210.03x = 217,914,493,672.27
  5. Step 5: Solve for x
    x = 217,914,493,672.27/292,210.03
  6. Step 6: Final answer
    x = 745,746.11

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.