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Finding the Third Proportional to 429,315 and 679,645.50

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Solution

The third proportional to 429,315 and 679,645.50 is: 1,075,941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,315 : 679,645.50 = 679,645.50 : x
  2. Step 2: Convert to fraction form
    429,315/679,645.50 = 679,645.50/x
  3. Step 3: Cross multiply
    429,315x = 679,645.50 × 679,645.50
  4. Step 4: Simplify right side
    429,315x = 461,918,005,670.25
  5. Step 5: Solve for x
    x = 461,918,005,670.25/429,315
  6. Step 6: Final answer
    x = 1,075,941.92

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.