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Finding the Third Proportional to 450,153 and 712,813.50

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Solution

The third proportional to 450,153 and 712,813.50 is: 1,128,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,153 : 712,813.50 = 712,813.50 : x
  2. Step 2: Convert to fraction form
    450,153/712,813.50 = 712,813.50/x
  3. Step 3: Cross multiply
    450,153x = 712,813.50 × 712,813.50
  4. Step 4: Simplify right side
    450,153x = 508,103,085,782.25
  5. Step 5: Solve for x
    x = 508,103,085,782.25/450,153
  6. Step 6: Final answer
    x = 1,128,734.20

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.