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Finding the Third Proportional to 562,911 and 829,477.50

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Solution

The third proportional to 562,911 and 829,477.50 is: 1,222,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,911 : 829,477.50 = 829,477.50 : x
  2. Step 2: Convert to fraction form
    562,911/829,477.50 = 829,477.50/x
  3. Step 3: Cross multiply
    562,911x = 829,477.50 × 829,477.50
  4. Step 4: Simplify right side
    562,911x = 688,032,923,006.25
  5. Step 5: Solve for x
    x = 688,032,923,006.25/562,911
  6. Step 6: Final answer
    x = 1,222,276.56

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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.