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Finding the Third Proportional to 292,210.50 and 634,245

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Solution

The third proportional to 292,210.50 and 634,245 is: 1,376,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,210.50 : 634,245 = 634,245 : x
  2. Step 2: Convert to fraction form
    292,210.50/634,245 = 634,245/x
  3. Step 3: Cross multiply
    292,210.50x = 634,245 × 634,245
  4. Step 4: Simplify right side
    292,210.50x = 402,266,720,025
  5. Step 5: Solve for x
    x = 402,266,720,025/292,210.50
  6. Step 6: Final answer
    x = 1,376,633.35

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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.