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Finding the Third Proportional to 359,465 and 563,845.50

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Solution

The third proportional to 359,465 and 563,845.50 is: 884,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,465 : 563,845.50 = 563,845.50 : x
  2. Step 2: Convert to fraction form
    359,465/563,845.50 = 563,845.50/x
  3. Step 3: Cross multiply
    359,465x = 563,845.50 × 563,845.50
  4. Step 4: Simplify right side
    359,465x = 317,921,747,870.25
  5. Step 5: Solve for x
    x = 317,921,747,870.25/359,465
  6. Step 6: Final answer
    x = 884,430.33

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.