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Finding the Third Proportional to 295,572 and 432,877.50

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Solution

The third proportional to 295,572 and 432,877.50 is: 633,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,572 : 432,877.50 = 432,877.50 : x
  2. Step 2: Convert to fraction form
    295,572/432,877.50 = 432,877.50/x
  3. Step 3: Cross multiply
    295,572x = 432,877.50 × 432,877.50
  4. Step 4: Simplify right side
    295,572x = 187,382,930,006.25
  5. Step 5: Solve for x
    x = 187,382,930,006.25/295,572
  6. Step 6: Final answer
    x = 633,967.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.