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Finding the Third Proportional to 960,592.50 and 1,506,829.50

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Solution

The third proportional to 960,592.50 and 1,506,829.50 is: 2,363,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,592.50 : 1,506,829.50 = 1,506,829.50 : x
  2. Step 2: Convert to fraction form
    960,592.50/1,506,829.50 = 1,506,829.50/x
  3. Step 3: Cross multiply
    960,592.50x = 1,506,829.50 × 1,506,829.50
  4. Step 4: Simplify right side
    960,592.50x = 2,270,535,142,070.25
  5. Step 5: Solve for x
    x = 2,270,535,142,070.25/960,592.50
  6. Step 6: Final answer
    x = 2,363,681.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.