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Finding the Third Proportional to 562,995 and 829,597.50

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Solution

The third proportional to 562,995 and 829,597.50 is: 1,222,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,995 : 829,597.50 = 829,597.50 : x
  2. Step 2: Convert to fraction form
    562,995/829,597.50 = 829,597.50/x
  3. Step 3: Cross multiply
    562,995x = 829,597.50 × 829,597.50
  4. Step 4: Simplify right side
    562,995x = 688,232,012,006.25
  5. Step 5: Solve for x
    x = 688,232,012,006.25/562,995
  6. Step 6: Final answer
    x = 1,222,447.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.