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Finding the Third Proportional to 330,277,303.50 and 524,706,205.50

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Solution

The third proportional to 330,277,303.50 and 524,706,205.50 is: 833,592,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,277,303.50 : 524,706,205.50 = 524,706,205.50 : x
  2. Step 2: Convert to fraction form
    330,277,303.50/524,706,205.50 = 524,706,205.50/x
  3. Step 3: Cross multiply
    330,277,303.50x = 524,706,205.50 × 524,706,205.50
  4. Step 4: Simplify right side
    330,277,303.50x = 275,316,602,090,208,224
  5. Step 5: Solve for x
    x = 275,316,602,090,208,224/330,277,303.50
  6. Step 6: Final answer
    x = 833,592,254.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.