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Finding the Third Proportional to 374,685 and 507,898.50

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Solution

The third proportional to 374,685 and 507,898.50 is: 688,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,685 : 507,898.50 = 507,898.50 : x
  2. Step 2: Convert to fraction form
    374,685/507,898.50 = 507,898.50/x
  3. Step 3: Cross multiply
    374,685x = 507,898.50 × 507,898.50
  4. Step 4: Simplify right side
    374,685x = 257,960,886,302.25
  5. Step 5: Solve for x
    x = 257,960,886,302.25/374,685
  6. Step 6: Final answer
    x = 688,474.01

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.