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Finding the Third Proportional to 623,089 and 933,577.50

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Solution

The third proportional to 623,089 and 933,577.50 is: 1,398,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,089 : 933,577.50 = 933,577.50 : x
  2. Step 2: Convert to fraction form
    623,089/933,577.50 = 933,577.50/x
  3. Step 3: Cross multiply
    623,089x = 933,577.50 × 933,577.50
  4. Step 4: Simplify right side
    623,089x = 871,566,948,506.25
  5. Step 5: Solve for x
    x = 871,566,948,506.25/623,089
  6. Step 6: Final answer
    x = 1,398,784.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.