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Finding the Third Proportional to 360,817.50 and 549,732

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Solution

The third proportional to 360,817.50 and 549,732 is: 837,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,817.50 : 549,732 = 549,732 : x
  2. Step 2: Convert to fraction form
    360,817.50/549,732 = 549,732/x
  3. Step 3: Cross multiply
    360,817.50x = 549,732 × 549,732
  4. Step 4: Simplify right side
    360,817.50x = 302,205,271,824
  5. Step 5: Solve for x
    x = 302,205,271,824/360,817.50
  6. Step 6: Final answer
    x = 837,557.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.