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Finding the Third Proportional to 130,407 and 314,806.50

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Solution

The third proportional to 130,407 and 314,806.50 is: 759,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,407 : 314,806.50 = 314,806.50 : x
  2. Step 2: Convert to fraction form
    130,407/314,806.50 = 314,806.50/x
  3. Step 3: Cross multiply
    130,407x = 314,806.50 × 314,806.50
  4. Step 4: Simplify right side
    130,407x = 99,103,132,442.25
  5. Step 5: Solve for x
    x = 99,103,132,442.25/130,407
  6. Step 6: Final answer
    x = 759,952.55

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.