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Finding the Third Proportional to 359,602 and 545,964

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Solution

The third proportional to 359,602 and 545,964 is: 828,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,602 : 545,964 = 545,964 : x
  2. Step 2: Convert to fraction form
    359,602/545,964 = 545,964/x
  3. Step 3: Cross multiply
    359,602x = 545,964 × 545,964
  4. Step 4: Simplify right side
    359,602x = 298,076,689,296
  5. Step 5: Solve for x
    x = 298,076,689,296/359,602
  6. Step 6: Final answer
    x = 828,907.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.