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Finding the Third Proportional to 388,071 and 579,712.50

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Solution

The third proportional to 388,071 and 579,712.50 is: 865,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,071 : 579,712.50 = 579,712.50 : x
  2. Step 2: Convert to fraction form
    388,071/579,712.50 = 579,712.50/x
  3. Step 3: Cross multiply
    388,071x = 579,712.50 × 579,712.50
  4. Step 4: Simplify right side
    388,071x = 336,066,582,656.25
  5. Step 5: Solve for x
    x = 336,066,582,656.25/388,071
  6. Step 6: Final answer
    x = 865,992.52

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