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Finding the Third Proportional to 453,465 and 685,300.50

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Solution

The third proportional to 453,465 and 685,300.50 is: 1,035,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,465 : 685,300.50 = 685,300.50 : x
  2. Step 2: Convert to fraction form
    453,465/685,300.50 = 685,300.50/x
  3. Step 3: Cross multiply
    453,465x = 685,300.50 × 685,300.50
  4. Step 4: Simplify right side
    453,465x = 469,636,775,300.25
  5. Step 5: Solve for x
    x = 469,636,775,300.25/453,465
  6. Step 6: Final answer
    x = 1,035,662.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.