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Finding the Third Proportional to 529,713 and 1,158,457.50

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Solution

The third proportional to 529,713 and 1,158,457.50 is: 2,533,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,713 : 1,158,457.50 = 1,158,457.50 : x
  2. Step 2: Convert to fraction form
    529,713/1,158,457.50 = 1,158,457.50/x
  3. Step 3: Cross multiply
    529,713x = 1,158,457.50 × 1,158,457.50
  4. Step 4: Simplify right side
    529,713x = 1,342,023,779,306.25
  5. Step 5: Solve for x
    x = 1,342,023,779,306.25/529,713
  6. Step 6: Final answer
    x = 2,533,492.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.