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Finding the Third Proportional to 460,243 and 732,646.50

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Solution

The third proportional to 460,243 and 732,646.50 is: 1,166,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,243 : 732,646.50 = 732,646.50 : x
  2. Step 2: Convert to fraction form
    460,243/732,646.50 = 732,646.50/x
  3. Step 3: Cross multiply
    460,243x = 732,646.50 × 732,646.50
  4. Step 4: Simplify right side
    460,243x = 536,770,893,962.25
  5. Step 5: Solve for x
    x = 536,770,893,962.25/460,243
  6. Step 6: Final answer
    x = 1,166,277.15

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.