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Finding the Third Proportional to 233,779.50 and 507,411

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Solution

The third proportional to 233,779.50 and 507,411 is: 1,101,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,779.50 : 507,411 = 507,411 : x
  2. Step 2: Convert to fraction form
    233,779.50/507,411 = 507,411/x
  3. Step 3: Cross multiply
    233,779.50x = 507,411 × 507,411
  4. Step 4: Simplify right side
    233,779.50x = 257,465,922,921
  5. Step 5: Solve for x
    x = 257,465,922,921/233,779.50
  6. Step 6: Final answer
    x = 1,101,319.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.