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Finding the Third Proportional to 429,602.50 and 631,250

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Solution

The third proportional to 429,602.50 and 631,250 is: 927,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,602.50 : 631,250 = 631,250 : x
  2. Step 2: Convert to fraction form
    429,602.50/631,250 = 631,250/x
  3. Step 3: Cross multiply
    429,602.50x = 631,250 × 631,250
  4. Step 4: Simplify right side
    429,602.50x = 398,476,562,500
  5. Step 5: Solve for x
    x = 398,476,562,500/429,602.50
  6. Step 6: Final answer
    x = 927,547.12

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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.