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Finding the Third Proportional to 634,567.50 and 971,946

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Solution

The third proportional to 634,567.50 and 971,946 is: 1,488,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,567.50 : 971,946 = 971,946 : x
  2. Step 2: Convert to fraction form
    634,567.50/971,946 = 971,946/x
  3. Step 3: Cross multiply
    634,567.50x = 971,946 × 971,946
  4. Step 4: Simplify right side
    634,567.50x = 944,679,026,916
  5. Step 5: Solve for x
    x = 944,679,026,916/634,567.50
  6. Step 6: Final answer
    x = 1,488,697.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.