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Finding the Third Proportional to 359,835 and 528,076.50

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Solution

The third proportional to 359,835 and 528,076.50 is: 774,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,835 : 528,076.50 = 528,076.50 : x
  2. Step 2: Convert to fraction form
    359,835/528,076.50 = 528,076.50/x
  3. Step 3: Cross multiply
    359,835x = 528,076.50 × 528,076.50
  4. Step 4: Simplify right side
    359,835x = 278,864,789,852.25
  5. Step 5: Solve for x
    x = 278,864,789,852.25/359,835
  6. Step 6: Final answer
    x = 774,979.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.